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class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" class="glyphicon 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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-1-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-1-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-2"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-2-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au" selected>Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" 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class="slider"> <label for="dt-p" title="search for arXiv Preprints"> <input type="checkbox" id="dt-p" name="dt" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> </div> </div> <div class="row"> <div class="col-xs-12 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="documents" method="GET" action="/"> <div class="documents one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="rf:1894900" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span>&nbsp;</span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span>&nbsp;&nbsp;</span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span>&nbsp;&nbsp;</span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span>&nbsp;&nbsp;</span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span>&nbsp;&nbsp;</span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span>&nbsp;&nbsp;</span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span>&nbsp;&nbsp;</span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span>&nbsp;&nbsp;</span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span>&nbsp;&nbsp;</span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span>&nbsp;&nbsp;</span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span>&nbsp;&nbsp;</span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span>&nbsp;&nbsp;</span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span>&nbsp;&nbsp;</span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span>&nbsp;&nbsp;</span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span>&nbsp;&nbsp;</span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span>&nbsp;&nbsp;</span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span>&nbsp;&nbsp;</span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span>&nbsp;&nbsp;</span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a&nbsp;<span class="item">&</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical and (default)</a></li> <li><a href="#"><span class="token">a&nbsp;<span class="item">|</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab&nbsp;&nbsp;&nbsp;</span><span>&nbsp;</span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>&nbsp;&nbsp;</span><span>&nbsp;</span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab&nbsp;c<span class="item">"</span></span><span>&nbsp;</span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab&nbsp;c<span class="item">)</span></span><span>&nbsp;</span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. 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M.</a>; <a href="/authors/kovtoniuk.h-m" title="Author Profile">Kovtoniuk, H. M.</a></div> <h3 class="title"> <a href="/8022158"><strong>Subsonic periodic traveling waves in Fermi-Pasta-Ulam type systems with nonlocal interaction on 2d-lattice.</strong></a> <i>(English)</i> <a class="label nowrap" href="/8022158">Zbl 08022158</a> </h3> <div class="source"> <a href="/serials/2401" title="Journal Profile">Mat. Stud.</a> <a href="/?q=in%3A527199" title="Articles in this Issue">62, No. 2, 184-191 (2024)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A37K60" title="Lattice dynamics; integrable lattice equations">37K60</a> <a class="mono" href="/classification/?q=cc%3A34A34" title="Nonlinear ordinary differential equations and systems">34A34</a> <a class="mono" href="/classification/?q=cc%3A74J30" title="Nonlinear waves in solid mechanics">74J30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 08022158" data-ciurl="/ci/08022158" data-biburl="/bibtex/08022158.bib" data-amsurl="/amsrefs/08022158.bib" data-xmlurl="/xml/08022158.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/08022158.pdf" title="Zbl 08022158 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.30970/ms.62.2.184-191" aria-label="DOI for “Subsonic periodic traveling waves in Fermi-Pasta-Ulam type systems with nonlocal interaction on 2d-lattice”" title="10.30970/ms.62.2.184-191">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7906803" value="7906803" aria-label="mark item Zbl 1551.37093"></div> <div class="author"><a href="/authors/bak.sergiy-mykolayovych" title="Author Profile">Bak, Sergiy M.</a>; <a href="/authors/kovtonyuk.galyna-mykolayivna" title="Author Profile">Kovtonyuk, Galyna M.</a></div> <h3 class="title"> <a href="/1551.37093"><strong>Solitary traveling waves in Fermi-Pasta-Ulam-type systems with nonlocal interaction on a 2D lattice.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1551.37093">Zbl 1551.37093</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. 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Math.</a> <a href="/?q=in%3A511371" title="Articles in this Issue">152, No. 1, 376-403 (2024)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A15420">Piotr Biler (Wrocław)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35C07" title="Traveling wave solutions">35C07</a> <a class="mono" href="/classification/?q=cc%3A74A70" title="Peridynamics">74A70</a> <a class="mono" href="/classification/?q=cc%3A35C08" title="Soliton solutions">35C08</a> <a class="mono" href="/classification/?q=cc%3A35B40" title="Asymptotic behavior of solutions to PDEs">35B40</a> <a class="mono" href="/classification/?q=cc%3A35R09" title="Integro-partial differential equations">35R09</a> <a class="mono" href="/classification/?q=cc%3A45K05" title="Integro-partial differential equations">45K05</a> <a class="mono" href="/classification/?q=cc%3A37K40" title="Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems">37K40</a> <a class="mono" href="/classification/?q=cc%3A37L60" title="Lattice dynamics and infinite-dimensional dissipative dynamical systems">37L60</a> <a class="mono" href="/classification/?q=cc%3A81V45" title="Atomic physics">81V45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1547.35601" data-ciurl="/ci/07836562" data-biburl="/bibtex/07836562.bib" data-amsurl="/amsrefs/07836562.bib" data-xmlurl="/xml/07836562.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07836562.pdf" title="Zbl 1547.35601 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1111/sapm.12644" aria-label="DOI for “Korteweg-de Vries waves in peridynamical media”" title="10.1111/sapm.12644">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2305.13294"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7792214" value="7792214" aria-label="mark item Zbl 1538.34050"></div> <div class="author"><a href="/authors/bak.sergiy-mykolayovych" title="Author Profile">Bak, S. M.</a>; <a href="/authors/kovtonyuk.galyna-mykolayivna" title="Author Profile">Kovtonyuk, G. M.</a></div> <h3 class="title"> <a href="/1538.34050"><strong>Periodic traveling waves in Fermi-Pasta-Ulam type systems with nonlocal interaction on 2D-lattice.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1538.34050">Zbl 1538.34050</a> </h3> <div class="source"> <a href="/serials/2401" title="Journal Profile">Mat. Stud.</a> <a href="/?q=in%3A507234" title="Articles in this Issue">60, No. 2, 180-190 (2023)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34A33" title="Ordinary lattice differential equations">34A33</a> <a class="mono" href="/classification/?q=cc%3A74J30" title="Nonlinear waves in solid mechanics">74J30</a> <a class="mono" href="/classification/?q=cc%3A34K10" title="Boundary value problems for functional-differential equations">34K10</a> <a class="mono" href="/classification/?q=cc%3A58E50" title="Applications of variational problems in infinite-dimensional spaces to the sciences">58E50</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1538.34050" data-ciurl="/ci/07792214" data-biburl="/bibtex/07792214.bib" data-amsurl="/amsrefs/07792214.bib" data-xmlurl="/xml/07792214.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07792214.pdf" title="Zbl 1538.34050 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.30970/ms.60.2.180-190" aria-label="DOI for “Periodic traveling waves in Fermi-Pasta-Ulam type systems with nonlocal interaction on 2D-lattice”" title="10.30970/ms.60.2.180-190">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7726891" value="7726891" aria-label="mark item Zbl 1517.74001"></div> <div class="author"><a href="/authors/challamel.noel" title="Author Profile">Challamel, Noël</a>; <a href="/authors/zhang.yunpeng" title="Author Profile">Zhang, Y. P.</a>; <a href="/authors/wang.chien-ming" title="Author Profile">Wang, C. M.</a>; <a href="/authors/ruta.giuseppe-claudio" title="Author Profile">Ruta, Giuseppe</a>; <a href="/authors/dellisola.francesco" title="Author Profile">dell&rsquo;Isola, Francesco</a></div> <h3 class="title"> <a href="/1517.74001"><strong>Discrete and continuous models of linear elasticity: history and connections.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1517.74001">Zbl 1517.74001</a> </h3> <div class="source"> <a href="/serials/1818" title="Journal Profile">Contin. Mech. Thermodyn.</a> <a href="/?q=in%3A501136" title="Articles in this Issue">35, No. 2, 347-391 (2023)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A74-02" title="Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids">74-02</a> <a class="mono" href="/classification/?q=cc%3A74-03" title="History of mechanics of deformable solids">74-03</a> <a class="mono" href="/classification/?q=cc%3A74B05" title="Classical linear elasticity">74B05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1517.74001" data-ciurl="/ci/07726891" data-biburl="/bibtex/07726891.bib" data-amsurl="/amsrefs/07726891.bib" data-xmlurl="/xml/07726891.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07726891.pdf" title="Zbl 1517.74001 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00161-022-01180-x" aria-label="DOI for “Discrete and continuous models of linear elasticity: history and connections”" title="10.1007/s00161-022-01180-x">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-03954266" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7681403" value="7681403" aria-label="mark item Zbl 1517.37077"></div> <div class="author"><a href="/authors/pelinovsky.dmitry-e" title="Author Profile">Pelinovsky, Dmitry</a>; <a href="/authors/schneider.guido" title="Author Profile">Schneider, Guido</a></div> <h3 class="title"> <a href="/1517.37077"><strong>KP-II approximation for a scalar Fermi-Pasta-Ulam system on a 2D square lattice.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1517.37077">Zbl 1517.37077</a> </h3> <div class="source"> <a href="/serials/1637" title="Journal Profile">SIAM J. Appl. Math.</a> <a href="/?q=in%3A496105" title="Articles in this Issue">83, No. 1, 79-98 (2023)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A37K60" title="Lattice dynamics; integrable lattice equations">37K60</a> <a class="mono" href="/classification/?q=cc%3A37L60" title="Lattice dynamics and infinite-dimensional dissipative dynamical systems">37L60</a> <a class="mono" href="/classification/?q=cc%3A37K10" title="Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)">37K10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1517.37077" data-ciurl="/ci/07681403" data-biburl="/bibtex/07681403.bib" data-amsurl="/amsrefs/07681403.bib" data-xmlurl="/xml/07681403.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07681403.pdf" title="Zbl 1517.37077 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/22M1509369" aria-label="DOI for “KP-II approximation for a scalar Fermi-Pasta-Ulam system on a 2D square lattice”" title="10.1137/22M1509369">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2207.10142"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7672099" value="7672099" aria-label="mark item Zbl 1514.37094"></div> <div class="author"><a href="/authors/bak.sergiy-mykolayovych" title="Author Profile">Bak, Sergiy M.</a>; <a href="/authors/kovtonyuk.galyna-mykolayivna" title="Author Profile">Kovtonyuk, Galyna M.</a></div> <h3 class="title"> <a href="/1514.37094"><strong>Existence of traveling solitary waves in Fermi-Pasta-Ulam-type systems with saturable nonlinearities on 2D-lattice.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1514.37094">Zbl 1514.37094</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A495323" title="Articles in this Issue">270, No. 3, 397-406 (2023)</a> and Ukr. Mat. Visn. 19, No. 4, 450-461 (2022). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A37K60" title="Lattice dynamics; integrable lattice equations">37K60</a> <a class="mono" href="/classification/?q=cc%3A37L60" title="Lattice dynamics and infinite-dimensional dissipative dynamical systems">37L60</a> <a class="mono" href="/classification/?q=cc%3A70F45" title="The dynamics of infinite particle systems">70F45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1514.37094" data-ciurl="/ci/07672099" data-biburl="/bibtex/07672099.bib" data-amsurl="/amsrefs/07672099.bib" data-xmlurl="/xml/07672099.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07672099.pdf" title="Zbl 1514.37094 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-023-06353-w" aria-label="DOI for “Existence of traveling solitary waves in Fermi-Pasta-Ulam-type systems with saturable nonlinearities on 2D-lattice”" title="10.1007/s10958-023-06353-w">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7595889" value="7595889" aria-label="mark item Zbl 1498.35476"></div> <div class="author"><a href="/authors/hristov.nikolay" title="Author Profile">Hristov, Nikolay</a>; <a href="/authors/pelinovsky.dmitry-e" title="Author Profile">Pelinovsky, Dmitry E.</a></div> <h3 class="title"> <a href="/1498.35476"><strong>Justification of the KP-II approximation in dynamics of two-dimensional FPU systems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1498.35476">Zbl 1498.35476</a> </h3> <div class="source"> <a href="/serials/224" title="Journal Profile">Z. Angew. Math. Phys.</a> <a href="/?q=in%3A485130" title="Articles in this Issue">73, No. 5, Paper No. 213, 26 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A37K60" title="Lattice dynamics; integrable lattice equations">37K60</a> <a class="mono" href="/classification/?q=cc%3A82C20" title="Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics">82C20</a> <a class="mono" href="/classification/?q=cc%3A35C08" title="Soliton solutions">35C08</a> <a class="mono" href="/classification/?q=cc%3A35C09" title="Trigonometric solutions to PDEs">35C09</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35A02" title="Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness">35A02</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1498.35476" data-ciurl="/ci/07595889" data-biburl="/bibtex/07595889.bib" data-amsurl="/amsrefs/07595889.bib" data-xmlurl="/xml/07595889.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07595889.pdf" title="Zbl 1498.35476 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00033-022-01846-1" aria-label="DOI for “Justification of the KP-II approximation in dynamics of two-dimensional FPU systems”" title="10.1007/s00033-022-01846-1">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2111.03499"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7586712" value="7586712" aria-label="mark item Zbl 1505.34025"></div> <div class="author"><a href="/authors/?q=ai%3Abak.sergiy-mykolayovych%7Cbak.sergiy-n" title="Author Profile">Bak, Sergiy</a></div> <h3 class="title"> <a href="/1505.34025"><strong>Periodic traveling waves in a system of nonlinearly coupled nonlinear oscillators on a two-dimensional lattice.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1505.34025">Zbl 1505.34025</a> </h3> <div class="source"> <a href="/serials/1394" title="Journal Profile">Acta Math. Univ. Comen., New Ser.</a> <a href="/?q=in%3A486837" title="Articles in this Issue">91, No. 3, 225-234 (2022)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A2956">Valerii V. Obukhovskij (Voronezh)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34A33" title="Ordinary lattice differential equations">34A33</a> <a class="mono" href="/classification/?q=cc%3A34C15" title="Nonlinear oscillations and coupled oscillators for ordinary differential equations">34C15</a> <a class="mono" href="/classification/?q=cc%3A34K13" title="Periodic solutions to functional-differential equations">34K13</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1505.34025" data-ciurl="/ci/07586712" data-biburl="/bibtex/07586712.bib" data-amsurl="/amsrefs/07586712.bib" data-xmlurl="/xml/07586712.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07586712.pdf" title="Zbl 1505.34025 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1700" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7542532" value="7542532" aria-label="mark item Zbl 1498.37111"></div> <div class="author"><a href="/authors/bak.sergiy-mykolayovych" title="Author Profile">Bak, Sergiy M.</a>; <a href="/authors/kovtonyuk.galyna-mykolayivna" title="Author Profile">Kovtonyuk, Galyna M.</a></div> <h3 class="title"> <a href="/1498.37111"><strong>Existence of periodic traveling waves in Fermi-Pasta-Ulam type systems on 2D-lattice with saturable nonlinearities.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1498.37111">Zbl 1498.37111</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A483236" title="Articles in this Issue">260, No. 5, 619-629 (2022)</a> and Ukr. Mat. Visn. 18, No. 4, 466-478 (2021). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A37K60" title="Lattice dynamics; integrable lattice equations">37K60</a> <a class="mono" href="/classification/?q=cc%3A37L60" title="Lattice dynamics and infinite-dimensional dissipative dynamical systems">37L60</a> <a class="mono" href="/classification/?q=cc%3A35C07" title="Traveling wave solutions">35C07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1498.37111" data-ciurl="/ci/07542532" data-biburl="/bibtex/07542532.bib" data-amsurl="/amsrefs/07542532.bib" data-xmlurl="/xml/07542532.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07542532.pdf" title="Zbl 1498.37111 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-022-05715-0" aria-label="DOI for “Existence of periodic traveling waves in Fermi-Pasta-Ulam type systems on 2D-lattice with saturable nonlinearities”" title="10.1007/s10958-022-05715-0">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7529695" value="7529695" aria-label="mark item Zbl 07529695"></div> <div class="author"><a href="/authors/vainchtein.anna" title="Author Profile">Vainchtein, Anna</a></div> <h3 class="title"> <a href="/7529695"><strong>Solitary waves in FPU-type lattices.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7529695">Zbl 07529695</a> </h3> <div class="source"> <a href="/serials/1030" title="Journal Profile">Physica D</a> <a href="/?q=in%3A482177" title="Articles in this Issue">434, Article ID 133252, 22 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A82-XX" title="Statistical mechanics, structure of matter">82-XX</a> <a class="mono" href="/classification/?q=cc%3A35-XX" title="Partial differential equations">35-XX</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07529695" data-ciurl="/ci/07529695" data-biburl="/bibtex/07529695.bib" data-amsurl="/amsrefs/07529695.bib" data-xmlurl="/xml/07529695.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07529695.pdf" title="Zbl 07529695 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.physd.2022.133252" aria-label="DOI for “Solitary waves in FPU-type lattices”" title="10.1016/j.physd.2022.133252">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7511504" value="7511504" aria-label="mark item Zbl 1549.34048"></div> <div class="author"><a href="/authors/?q=ai%3Abak.sergiy-mykolayovych%7Cbak.sergiy-n" title="Author Profile">Bak, Sergiy</a></div> <h3 class="title"> <a href="/1549.34048"><strong>Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1549.34048">Zbl 1549.34048</a> </h3> <div class="source"> <a href="/serials/338" title="Journal Profile">Arch. Math. (Brno)</a> <a href="/?q=in%3A480714" title="Articles in this Issue">58, No. 1, 1-13 (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34A33" title="Ordinary lattice differential equations">34A33</a> <a class="mono" href="/classification/?q=cc%3A34C15" title="Nonlinear oscillations and coupled oscillators for ordinary differential equations">34C15</a> <a class="mono" href="/classification/?q=cc%3A58E05" title="Abstract critical point theory (Morse theory, Lyusternik-Shnirel&rsquo;man theory, etc.) in infinite-dimensional spaces">58E05</a> <a class="mono" href="/classification/?q=cc%3A34C25" title="Periodic solutions to ordinary differential equations">34C25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1549.34048" data-ciurl="/ci/07511504" data-biburl="/bibtex/07511504.bib" data-amsurl="/amsrefs/07511504.bib" data-xmlurl="/xml/07511504.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07511504.pdf" title="Zbl 1549.34048 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.5817/AM2022-1-1" aria-label="DOI for “Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice.”" title="10.5817/AM2022-1-1">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7509983" value="7509983" aria-label="mark item Zbl 1484.34053"></div> <div class="author"><a href="/authors/bak.sergiy-mykolayovych" title="Author Profile">Bak, S. M.</a>; <a href="/authors/kovtonyuk.galyna-mykolayivna" title="Author Profile">Kovtonyuk, G. M.</a></div> <h3 class="title"> <a href="/1484.34053"><strong>Well-posedness of the Cauchy problem for system of oscillators on 2D-lattice in weighted \(L^2\)-spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1484.34053">Zbl 1484.34053</a> </h3> <div class="source"> <a href="/serials/2401" title="Journal Profile">Mat. Stud.</a> <a href="/?q=in%3A480457" title="Articles in this Issue">56, No. 2, 176-184 (2021)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34A12" title="Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations">34A12</a> <a class="mono" href="/classification/?q=cc%3A34C15" title="Nonlinear oscillations and coupled oscillators for ordinary differential equations">34C15</a> <a class="mono" href="/classification/?q=cc%3A34G20" title="Nonlinear differential equations in abstract spaces">34G20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1484.34053" data-ciurl="/ci/07509983" data-biburl="/bibtex/07509983.bib" data-amsurl="/amsrefs/07509983.bib" data-xmlurl="/xml/07509983.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07509983.pdf" title="Zbl 1484.34053 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.30970/ms.56.2.176-184" aria-label="DOI for “Well-posedness of the Cauchy problem for system of oscillators on 2D-lattice in weighted \(L^2\)-spaces”" title="10.30970/ms.56.2.176-184">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7353384" value="7353384" aria-label="mark item Zbl 07353384"></div> <div class="author"><a href="/authors/zhang.ling.8" title="Author Profile">Zhang, Ling</a>; <a href="/authors/guo.shangjiang" title="Author Profile">Guo, Shangjiang</a></div> <h3 class="title"> <a href="/7353384"><strong>Periodic travelling waves on damped 2D lattices with oscillating external forces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7353384">Zbl 07353384</a> </h3> <div class="source"> <a href="/serials/173" title="Journal Profile">Nonlinearity</a> <a href="/?q=in%3A463874" title="Articles in this Issue">34, No. 5, 2919-2936 (2021)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34K10" title="Boundary value problems for functional-differential equations">34K10</a> <a class="mono" href="/classification/?q=cc%3A34A33" title="Ordinary lattice differential equations">34A33</a> <a class="mono" href="/classification/?q=cc%3A34K13" title="Periodic solutions to functional-differential equations">34K13</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07353384" data-ciurl="/ci/07353384" data-biburl="/bibtex/07353384.bib" data-amsurl="/amsrefs/07353384.bib" data-xmlurl="/xml/07353384.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07353384.pdf" title="Zbl 07353384 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1088/1361-6544/abe098" aria-label="DOI for “Periodic travelling waves on damped 2D lattices with oscillating external forces”" title="10.1088/1361-6544/abe098">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7308109" value="7308109" aria-label="mark item Zbl 1464.34030"></div> <div class="author"><a href="/authors/bak.sergiy-mykolayovych" title="Author Profile">Bak, Sergiy Mykolayovych</a>; <a href="/authors/kovtonyuk.galyna-mykolayivna" title="Author Profile">Kovtonyuk, Galyna Mykolayivna</a></div> <h3 class="title"> <a href="/1464.34030"><strong>Existence of traveling waves in Fermi-Pasta-Ulam-type systems on a 2D-lattice.</strong></a> <i>(English. Ukrainian original)</i> <a class="label nowrap" href="/1464.34030">Zbl 1464.34030</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A458505" title="Articles in this Issue">252, No. 4, 453-462 (2021)</a>; translation from Ukr. Mat. Visn. 17, No. 3, 301-312 (2020). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A18442">Xiang-Sheng Wang (Lafayette)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34A33" title="Ordinary lattice differential equations">34A33</a> <a class="mono" href="/classification/?q=cc%3A34C25" title="Periodic solutions to ordinary differential equations">34C25</a> <a class="mono" href="/classification/?q=cc%3A34C37" title="Homoclinic and heteroclinic solutions to ordinary differential equations">34C37</a> <a class="mono" href="/classification/?q=cc%3A58E05" title="Abstract critical point theory (Morse theory, Lyusternik-Shnirel&rsquo;man theory, etc.) in infinite-dimensional spaces">58E05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1464.34030" data-ciurl="/ci/07308109" data-biburl="/bibtex/07308109.bib" data-amsurl="/amsrefs/07308109.bib" data-xmlurl="/xml/07308109.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07308109.pdf" title="Zbl 1464.34030 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-020-05173-6" aria-label="DOI for “Existence of traveling waves in Fermi-Pasta-Ulam-type systems on a 2D-lattice”" title="10.1007/s10958-020-05173-6">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7253479" value="7253479" aria-label="mark item Zbl 1452.34020"></div> <div class="author"><a href="/authors/bak.sergiy-mykolayovych" title="Author Profile">Bak, Sergiy M.</a></div> <h3 class="title"> <a href="/1452.34020"><strong>Global well-posedness of the Cauchy problem for a system of oscillators on a 2D-lattice with power potentials.</strong></a> <i>(English. Ukrainian original)</i> <a class="label nowrap" href="/1452.34020">Zbl 1452.34020</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A453493" title="Articles in this Issue">246, No. 5, 593-601 (2020)</a>; translation from Ukr. Mat. Visn. 16, No. 4, 465-476 (2019). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34A33" title="Ordinary lattice differential equations">34A33</a> <a class="mono" href="/classification/?q=cc%3A34A12" title="Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations">34A12</a> <a class="mono" href="/classification/?q=cc%3A34C15" title="Nonlinear oscillations and coupled oscillators for ordinary differential equations">34C15</a> <a class="mono" href="/classification/?q=cc%3A34A35" title="Ordinary differential equations of infinite order">34A35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1452.34020" data-ciurl="/ci/07253479" data-biburl="/bibtex/07253479.bib" data-amsurl="/amsrefs/07253479.bib" data-xmlurl="/xml/07253479.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07253479.pdf" title="Zbl 1452.34020 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-020-04765-6" aria-label="DOI for “Global well-posedness of the Cauchy problem for a system of oscillators on a 2D-lattice with power potentials”" title="10.1007/s10958-020-04765-6">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7195170" value="7195170" aria-label="mark item Zbl 1434.74075"></div> <div class="author"><a href="/authors/patra.amit-k" title="Author Profile">Patra, Amit K.</a>; <a href="/authors/gopalakrishnan.srinivasan" title="Author Profile">Gopalakrishnan, S.</a>; <a href="/authors/ganguly.ranjan" title="Author Profile">Ganguli, Ranjan</a></div> <h3 class="title"> <a href="/1434.74075"><strong>Existence of second spectrums of Timoshenko beam and Mindlin-Herrmann rod theories on the basis of atomistic studies.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1434.74075">Zbl 1434.74075</a> </h3> <div class="source"> <a href="/serials/14" title="Journal Profile">Acta Mech.</a> <a href="/?q=in%3A448760" title="Articles in this Issue">231, No. 3, 1159-1171 (2020)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A74K10" title="Rods (beams, columns, shafts, arches, rings, etc.)">74K10</a> <a class="mono" href="/classification/?q=cc%3A74H45" title="Vibrations in dynamical problems in solid mechanics">74H45</a> <a class="mono" href="/classification/?q=cc%3A74A25" title="Molecular, statistical, and kinetic theories in solid mechanics">74A25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1434.74075" data-ciurl="/ci/07195170" data-biburl="/bibtex/07195170.bib" data-amsurl="/amsrefs/07195170.bib" data-xmlurl="/xml/07195170.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07195170.pdf" title="Zbl 1434.74075 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00707-019-02587-5" aria-label="DOI for “Existence of second spectrums of Timoshenko beam and Mindlin-Herrmann rod theories on the basis of atomistic studies”" title="10.1007/s00707-019-02587-5">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7172141" value="7172141" aria-label="mark item Zbl 1434.39007"></div> <div class="author"><a href="/authors/bak.sergiy-mykolayovych" title="Author Profile">Bak, S. M.</a></div> <h3 class="title"> <a href="/1434.39007"><strong>Homoclinic traveling waves in discrete sine-Gordon equation with nonlinear interaction on 2D-lattice.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1434.39007">Zbl 1434.39007</a> </h3> <div class="source"> <a href="/serials/2401" title="Journal Profile">Mat. Stud.</a> <a href="/?q=in%3A446969" title="Articles in this Issue">52, No. 2, 176-184 (2019)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A39A14" title="Partial difference equations">39A14</a> <a class="mono" href="/classification/?q=cc%3A39A12" title="Discrete version of topics in analysis">39A12</a> <a class="mono" href="/classification/?q=cc%3A35C07" title="Traveling wave solutions">35C07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1434.39007" data-ciurl="/ci/07172141" data-biburl="/bibtex/07172141.bib" data-amsurl="/amsrefs/07172141.bib" data-xmlurl="/xml/07172141.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07172141.pdf" title="Zbl 1434.39007 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.30970/ms.52.2.176-184" aria-label="DOI for “Homoclinic traveling waves in discrete sine-Gordon equation with nonlinear interaction on 2D-lattice”" title="10.30970/ms.52.2.176-184">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7053846" value="7053846" aria-label="mark item Zbl 1411.35180"></div> <div class="author"><a href="/authors/bak.sergiy-mykolayovych" title="Author Profile">Bak, S. M.</a>; <a href="/authors/kovtonyuk.galyna-mykolayivna" title="Author Profile">Kovtonyuk, G. M.</a></div> <h3 class="title"> <a href="/1411.35180"><strong>Existence of solitary traveling waves in Fermi-Pasta-Ulam system on 2D-lattice.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1411.35180">Zbl 1411.35180</a> </h3> <div class="source"> <a href="/serials/2401" title="Journal Profile">Mat. Stud.</a> <a href="/?q=in%3A432566" title="Articles in this Issue">50, No. 1, 75-87 (2018)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35K70" title="Ultraparabolic equations, pseudoparabolic equations, etc.">35K70</a> <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1411.35180" data-ciurl="/ci/07053846" data-biburl="/bibtex/07053846.bib" data-amsurl="/amsrefs/07053846.bib" data-xmlurl="/xml/07053846.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07053846.pdf" title="Zbl 1411.35180 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.15330/ms.50.1.75-87" aria-label="DOI for “Existence of solitary traveling waves in Fermi-Pasta-Ulam system on 2D-lattice”" title="10.15330/ms.50.1.75-87">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6919336" value="6919336" aria-label="mark item Zbl 1400.37095"></div> <div class="author"><a href="/authors/chen.fanzhi" title="Author Profile">Chen, Fanzhi</a>; <a href="/authors/?q=ai%3Aherrmann.michael.2%7Cherrmann.michael.1" title="Author Profile">Herrmann, Michael</a></div> <h3 class="title"> <a href="/1400.37095"><strong>KdV-like solitary waves in two-dimensional FPU-lattices.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1400.37095">Zbl 1400.37095</a> </h3> <div class="source"> <a href="/serials/2177" title="Journal Profile">Discrete Contin. Dyn. Syst.</a> <a href="/?q=in%3A411806" title="Articles in this Issue">38, No. 5, 2305-2332 (2018)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A6302">Boris A. Malomed (Tel Aviv)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A37K60" title="Lattice dynamics; integrable lattice equations">37K60</a> <a class="mono" href="/classification/?q=cc%3A37K40" title="Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems">37K40</a> <a class="mono" href="/classification/?q=cc%3A74H10" title="Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics">74H10</a> <a class="mono" href="/classification/?q=cc%3A82C20" title="Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics">82C20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1400.37095" data-ciurl="/ci/06919336" data-biburl="/bibtex/06919336.bib" data-amsurl="/amsrefs/06919336.bib" data-xmlurl="/xml/06919336.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06919336.pdf" title="Zbl 1400.37095 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/dcds.2018095" aria-label="DOI for “KdV-like solitary waves in two-dimensional FPU-lattices”" title="10.3934/dcds.2018095">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1703.10358"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7030464" value="7030464" aria-label="mark item Zbl 1498.34059"></div> <div class="author"><a href="/authors/bak.sergiy-mykolayovych" title="Author Profile">Bak, S. M.</a></div> <h3 class="title"> <a href="/1498.34059"><strong>Existence of solitary traveling waves in a system of nonlinearly coupled oscillators on the 2D lattice.</strong></a> <i>(English. Ukrainian original)</i> <a class="label nowrap" href="/1498.34059">Zbl 1498.34059</a> </h3> <div class="source"> <a href="/serials/214" title="Journal Profile">Ukr. Math. J.</a> <a href="/?q=in%3A372535" title="Articles in this Issue">69, No. 4, 509-520 (2017)</a>; translation from Ukr. Mat. Zh. 69, No. 4, 435-444 (2017). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34A35" title="Ordinary differential equations of infinite order">34A35</a> <a class="mono" href="/classification/?q=cc%3A34C15" title="Nonlinear oscillations and coupled oscillators for ordinary differential equations">34C15</a> <a class="mono" href="/classification/?q=cc%3A37K60" title="Lattice dynamics; integrable lattice equations">37K60</a> <a class="mono" href="/classification/?q=cc%3A74J35" title="Solitary waves in solid mechanics">74J35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1498.34059" data-ciurl="/ci/07030464" data-biburl="/bibtex/07030464.bib" data-amsurl="/amsrefs/07030464.bib" data-xmlurl="/xml/07030464.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07030464.pdf" title="Zbl 1498.34059 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11253-017-1378-7" aria-label="DOI for “Existence of solitary traveling waves in a system of nonlinearly coupled oscillators on the 2D lattice”" title="10.1007/s11253-017-1378-7">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6847836" value="6847836" aria-label="mark item Zbl 1458.74081"></div> <div class="author"><a href="/authors/wang.wei.294" title="Author Profile">Wang, Wei</a>; <a href="/authors/liu.liping.3" title="Author Profile">Liu, Liping</a></div> <h3 class="title"> <a href="/1458.74081"><strong>Solitary waves in two-dimensional nonlinear lattices.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1458.74081">Zbl 1458.74081</a> </h3> <div class="source"> <a href="/serials/14" title="Journal Profile">Acta Mech.</a> <a href="/?q=in%3A369857" title="Articles in this Issue">228, No. 9, 3155-3171 (2017)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A74J35" title="Solitary waves in solid mechanics">74J35</a> <a class="mono" href="/classification/?q=cc%3A74J30" title="Nonlinear waves in solid mechanics">74J30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1458.74081" data-ciurl="/ci/06847836" data-biburl="/bibtex/06847836.bib" data-amsurl="/amsrefs/06847836.bib" data-xmlurl="/xml/06847836.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06847836.pdf" title="Zbl 1458.74081 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00707-017-1881-9" aria-label="DOI for “Solitary waves in two-dimensional nonlinear lattices”" title="10.1007/s00707-017-1881-9">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6711708" value="6711708" aria-label="mark item Zbl 1378.37119"></div> <div class="author"><a href="/authors/?q=ai%3Aherrmann.michael.2%7Cherrmann.michael.1" title="Author Profile">Herrmann, Michael</a></div> <h3 class="title"> <a href="/1378.37119"><strong>High-energy waves in superpolynomial FPU-type chains.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1378.37119">Zbl 1378.37119</a> </h3> <div class="source"> <a href="/serials/1805" title="Journal Profile">J. Nonlinear Sci.</a> <a href="/?q=in%3A363909" title="Articles in this Issue">27, No. 1, 213-240 (2017)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A12369">Gheorghe Tigan (Timisoara)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A37K60" title="Lattice dynamics; integrable lattice equations">37K60</a> <a class="mono" href="/classification/?q=cc%3A37K40" title="Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems">37K40</a> <a class="mono" href="/classification/?q=cc%3A74H10" title="Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics">74H10</a> <a class="mono" href="/classification/?q=cc%3A37M10" title="Time series analysis of dynamical systems">37M10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1378.37119" data-ciurl="/ci/06711708" data-biburl="/bibtex/06711708.bib" data-amsurl="/amsrefs/06711708.bib" data-xmlurl="/xml/06711708.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06711708.pdf" title="Zbl 1378.37119 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00332-016-9331-8" aria-label="DOI for “High-energy waves in superpolynomial FPU-type chains”" title="10.1007/s00332-016-9331-8">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1511.00836"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6928148" value="6928148" aria-label="mark item Zbl 1423.82008"></div> <div class="author"><a href="/authors/patra.amit-k" title="Author Profile">Patra, Amit K.</a>; <a href="/authors/gopalakrishnan.srinivasan" title="Author Profile">Gopalakrishnan, S.</a>; <a href="/authors/ganguly.ranjan" title="Author Profile">Ganguli, Ranjan</a></div> <h3 class="title"> <a href="/1423.82008"><strong>A spectral multiscale method for wave propagation analysis: atomistic-continuum coupled simulation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1423.82008">Zbl 1423.82008</a> </h3> <div class="source"> <a href="/serials/64" title="Journal Profile">Comput. Methods Appl. Mech. Eng.</a> <a href="/?q=in%3A413095" title="Articles in this Issue">278, 744-764 (2014)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A82B21" title="Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics">82B21</a> <a class="mono" href="/classification/?q=cc%3A65N35" title="Spectral, collocation and related methods for boundary value problems involving PDEs">65N35</a> <a class="mono" href="/classification/?q=cc%3A74A25" title="Molecular, statistical, and kinetic theories in solid mechanics">74A25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1423.82008" data-ciurl="/ci/06928148" data-biburl="/bibtex/06928148.bib" data-amsurl="/amsrefs/06928148.bib" data-xmlurl="/xml/06928148.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06928148.pdf" title="Zbl 1423.82008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cma.2014.06.017" aria-label="DOI for “A spectral multiscale method for wave propagation analysis: atomistic-continuum coupled simulation”" title="10.1016/j.cma.2014.06.017">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1405.5557"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6584022" value="6584022" aria-label="mark item Zbl 1349.34114"></div> <div class="author"><a href="/authors/bak.sergiy-mykolayovych" title="Author Profile">Bak, S. M.</a></div> <h3 class="title"> <a href="/1349.34114"><strong>Existence of heteroclinic travelling waves in the system of nonlinear oscillators in two-dimensional lattice.</strong></a> <i>(Ukrainian, English)</i> <a class="label nowrap" href="/1349.34114">Zbl 1349.34114</a> </h3> <div class="source"> <a href="/serials/2186" title="Journal Profile">Mat. Metody Fiz.-Mekh. Polya</a> <a href="/?q=in%3A355548" title="Articles in this Issue">57, No. 3, 45-52 (2014)</a>; translation in J. Math. Sci., New York 217, No. 2, 187-197 (2016). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A4989">Anatoly Martynyuk (Kyïv)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34C15" title="Nonlinear oscillations and coupled oscillators for ordinary differential equations">34C15</a> <a class="mono" href="/classification/?q=cc%3A34C37" title="Homoclinic and heteroclinic solutions to ordinary differential equations">34C37</a> <a class="mono" href="/classification/?q=cc%3A34A33" title="Ordinary lattice differential equations">34A33</a> <a class="mono" href="/classification/?q=cc%3A58E50" title="Applications of variational problems in infinite-dimensional spaces to the sciences">58E50</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1349.34114" data-ciurl="/ci/06584022" data-biburl="/bibtex/06584022.bib" data-amsurl="/amsrefs/06584022.bib" data-xmlurl="/xml/06584022.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06584022.pdf" title="Zbl 1349.34114 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-016-2966-z" aria-label="DOI for “Existence of heteroclinic travelling waves in the system of nonlinear oscillators in two-dimensional lattice”" title="10.1007/s10958-016-2966-z">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6298623" value="6298623" aria-label="mark item Zbl 1318.34020"></div> <div class="author"><a href="/authors/zhang.ling.8" title="Author Profile">Zhang, Ling</a>; <a href="/authors/guo.shangjiang" title="Author Profile">Guo, Shangjiang</a></div> <h3 class="title"> <a href="/1318.34020"><strong>Existence and multiplicity of wave trains in 2D lattices.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1318.34020">Zbl 1318.34020</a> </h3> <div class="source"> <a href="/serials/484" title="Journal Profile">J. Differ. Equations</a> <a href="/?q=in%3A332831" title="Articles in this Issue">257, No. 3, 759-783 (2014)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A13444">Michael Herrmann (Saarbrücken)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34A33" title="Ordinary lattice differential equations">34A33</a> <a class="mono" href="/classification/?q=cc%3A34K20" title="Stability theory of functional-differential equations">34K20</a> <a class="mono" href="/classification/?q=cc%3A34K10" title="Boundary value problems for functional-differential equations">34K10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1318.34020" data-ciurl="/ci/06298623" data-biburl="/bibtex/06298623.bib" data-amsurl="/amsrefs/06298623.bib" data-xmlurl="/xml/06298623.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06298623.pdf" title="Zbl 1318.34020 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jde.2014.04.016" aria-label="DOI for “Existence and multiplicity of wave trains in 2D lattices”" title="10.1016/j.jde.2014.04.016">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6247546" value="6247546" aria-label="mark item Zbl 1284.34016"></div> <div class="author"><a href="/authors/bak.sergiy-n" title="Author Profile">Bak, Sergiy N.</a>; <a href="/authors/pankov.alexander-a" title="Author Profile">Pankov, Alexander A.</a></div> <h3 class="title"> <a href="/1284.34016"><strong>Traveling waves in systems of oscillators on 2D-lattices.</strong></a> <i>(English. Ukrainian original)</i> <a class="label nowrap" href="/1284.34016">Zbl 1284.34016</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A277530" title="Articles in this Issue">174, No. 4, 437-452 (2011)</a>; translation from Ukr. Mat. Visn. 7, No. 2, 154-175 (2010). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34A33" title="Ordinary lattice differential equations">34A33</a> <a class="mono" href="/classification/?q=cc%3A34B40" title="Boundary value problems on infinite intervals for ordinary differential equations">34B40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1284.34016" data-ciurl="/ci/06247546" data-biburl="/bibtex/06247546.bib" data-amsurl="/amsrefs/06247546.bib" data-xmlurl="/xml/06247546.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06247546.pdf" title="Zbl 1284.34016 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-011-0310-1" aria-label="DOI for “Traveling waves in systems of oscillators on 2D-lattices”" title="10.1007/s10958-011-0310-1">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5579294" value="5579294" aria-label="mark item Zbl 1173.37059"></div> <div class="author"><a href="/authors/pfrang.christian-w" title="Author Profile">Pfrang, Christian</a>; <a href="/authors/matthies.karsten" title="Author Profile">Matthies, Karsten</a></div> <h3 class="title"> <a href="/1173.37059"><strong>Small planar travelling waves in two-dimensional networks of coupled oscillators.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1173.37059">Zbl 1173.37059</a> </h3> <div class="source"> <a href="/serials/2832" title="Journal Profile">Dyn. Syst.</a> <a href="/?q=in%3A249687" title="Articles in this Issue">24, No. 2, 157-170 (2009)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A12081">Cheng-Hsiung Hsu (Chung-Li)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A37K60" title="Lattice dynamics; integrable lattice equations">37K60</a> <a class="mono" href="/classification/?q=cc%3A37L10" title="Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems">37L10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1173.37059" data-ciurl="/ci/05579294" data-biburl="/bibtex/05579294.bib" data-amsurl="/amsrefs/05579294.bib" data-xmlurl="/xml/05579294.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05579294.pdf" title="Zbl 1173.37059 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/14689360802541281" aria-label="DOI for “Small planar travelling waves in two-dimensional networks of coupled oscillators”" title="10.1080/14689360802541281">DOI</a> <a class="btn btn-default btn-xs" type="button" href="http://opus.bath.ac.uk/15806/1/Matthies_DS%2DIJ_2009_24_2_157.pdf" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div></section> <section class="content-filter"><h2 class="filters-caption">Filter Results by &hellip;</h2> <div class="filter filter-st"> <h3 class="filter-caption">Access</h3> <ul><li> <a href="/?q=rf%3A1894900+st%3Ao" title="Open Access Documents">Open Access</a> (8) </li></ul> </div> <div class="filter filter-ai"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Author</h3> <ul><li> <a href="/?q=rf%3A1894900+ai%3Abak.sergiy-mykolayovych">Bak, Sergiy Mykolayovych</a> (12) </li><li> <a href="/?q=rf%3A1894900+ai%3Akovtonyuk.galyna-mykolayivna">Kovtonyuk, Galyna Mykolayivna</a> (7) </li><li> <a href="/?q=rf%3A1894900+ai%3Aganguly.ranjan">Ganguly, Ranjan</a> (2) </li><li> <a href="/?q=rf%3A1894900+ai%3Agopalakrishnan.srinivasan">Gopalakrishnan, Srinivasan</a> (2) </li><li> <a href="/?q=rf%3A1894900+ai%3Aguo.shangjiang">Guo, Shangjiang</a> (2) </li><li class="more"> <a href="/?q=rf%3A1894900+ai%3Apatra.amit-k">Patra, Amit K.</a> (2) </li><li class="more"> <a href="/?q=rf%3A1894900+ai%3Apelinovsky.dmitry-e">Pelinovsky, Dmitry Efimovich</a> (2) </li><li class="more"> <a href="/?q=rf%3A1894900+ai%3Azhang.ling.8">Zhang, Ling</a> (2) </li><li class="more"> <a href="/?q=rf%3A1894900+ai%3Abak.sergiy-n">Bak, Sergiy N.</a> (1) </li><li class="more"> <a href="/?q=rf%3A1894900+ai%3Achallamel.noel">Challamel, Noël</a> (1) </li><li class="more"> <a href="/?q=rf%3A1894900+ai%3Achen.fanzhi">Chen, Fanzhi</a> (1) </li><li class="more"> <a href="/?q=rf%3A1894900+ai%3Adellisola.francesco">dell&rsquo;Isola, Francesco</a> (1) </li><li class="more"> <a href="/?q=rf%3A1894900+ai%3Ahristov.nikolay">Hristov, Nikolay</a> (1) </li><li class="more"> <a href="/?q=rf%3A1894900+ai%3Akleine.katia">Kleine, Katia</a> (1) </li><li class="more"> <a href="/?q=rf%3A1894900+ai%3Akovtoniuk.h-m">Kovtoniuk, H. 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