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Integrable Heisenberg Ferromagnet Equations with Self-Consistent Potentials
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mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Integrable Heisenberg Ferromagnet Equations with Self-Consistent Potentials</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Gulgassyl%20Nugmanova">Gulgassyl Nugmanova</a>, <a href="https://publications.waset.org/search?q=Zhanat%20Zhunussova"> Zhanat Zhunussova</a>, <a href="https://publications.waset.org/search?q=Kuralay%20Yesmakhanova"> Kuralay Yesmakhanova</a>, <a href="https://publications.waset.org/search?q=Galya%20Mamyrbekova"> Galya Mamyrbekova</a>, <a href="https://publications.waset.org/search?q=Ratbay%20Myrzakulov"> Ratbay Myrzakulov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider some integrable Heisenberg Ferromagnet Equations with self-consistent potentials. We study their Lax representations. In particular we derive their equivalent counterparts in the form of nonlinear Schr¨odinger type equations. We present the integrable reductions of the Heisenberg Ferromagnet Equations with self-consistent potentials. These integrable Heisenberg Ferromagnet Equations with self-consistent potentials describe nonlinear waves in ferromagnets with some additional physical fields. <iframe src="https://publications.waset.org/10002081.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Spin%20systems" title="Spin systems">Spin systems</a>, <a href="https://publications.waset.org/search?q=equivalent%20counterparts" title=" equivalent counterparts"> equivalent counterparts</a>, <a href="https://publications.waset.org/search?q=integrable%0D%0Areductions" title=" integrable reductions"> integrable reductions</a>, <a href="https://publications.waset.org/search?q=self-consistent%20potentials." title=" self-consistent potentials."> self-consistent potentials.</a> </p> <p class="card-text"><strong>Digital Object Identifier (DOI):</strong> <a href="https://doi.org/10.5281/zenodo.1338382" target="_blank">doi.org/10.5281/zenodo.1338382</a> </p> <a href="https://publications.waset.org/10002081/integrable-heisenberg-ferromagnet-equations-with-self-consistent-potentials" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10002081/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10002081/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10002081/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10002081/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10002081/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10002081/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10002081/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10002081/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10002081/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10002081/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10002081.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1732</span> </span> <p class="card-text"><strong>References:</strong></p> <br>[1] M. Lakshmanan. Phys. Lett. A. 61 (1977) 53. <br>[2] L. Takhtajian Phys. Lett. A. 64 (1977) 235. <br>[3] R. Myrzakulov. On some integrable and nonintegrable soliton equations of magnets I-IV (HEPI, Alma-Ata, 1987). <br>[4] L. Martina, Kur. Myrzakul, R. Myrzakulov, G. Soliani. J. Math. Phys. 42 (2001) 1397. <br>[5] R. Myrzakulov, A.K. Danlybaeva, G.N. Nugmanova. Theor. Math. Phys. 118 (1999) 441. <br>[6] R. Myrzakulov, M. Lakshmanan, S. Vijayalakshmi, A. Danlybaeva. J. Math. Phys. 39 (1998) 3765. <br>[7] R. Myrzakulov, S. Vijayalakshmi, R. Syzdykova, Lakshmanan M. J. Math. Phys. 39 (1998) 2122. <br>[8] R. Myrzakulov, G. Nugmanova, R. Syzdykova. J. Phys. A: Math. Theor. 31 (1998) 9535. <br>[9] R. Myrzakulov, S. Vijayalakshmi, G. Nugmanova, M. Lakshmanan. Phys. Lett. A. 233 (1997) 391. <br>[10] R. Myrzakulov, M. Daniel, R. Amuda. Physica A. 234 (1997) 715. <br>[11] S.C. Anco, R. Myrzakulov. J. Geom. Phys. 60 (2010) 1576. <br>[12] R. Myrzakulov, F.K. Rahimov, K. Myrzakul, N.S. Serikbaev. On the geometry of stationary Heisenberg ferromagnets. In book ”Non-linear waves: Classical and Quantum Aspects”, Kluwer Academic Publishers, Dordrecht, Netherlands, 2004, pp. 543-549. <br>[13] R. Myrzakulov, N.S. Serikbaev, Kur. Myrzakul, F.K. Rahimov. NATO Sci. Ser. II, Math. Phys. Chem. 153 (2004) 535. <br>[14] R. Myrzakulov, G.K. Mamyrbekova, G.N. Nugmanova, M. Lakshmanan. Phys. Lett A. 378 (2014) 2118. <br>[15] S.P. Burtsev, I.R. Gabitov. Phys. Rev. A. 49 (1994) 2065. <br>[16] K. Porsezian, K. Nakkeeran. Phys. Rev. Lett. 74 (1995) 2941. <br>[17] Chuanzhong Li, Jingsong He, K. Porsezian. Rogue waves of the Hirota and the Maxwell-Bloch equations, (arXiv:1205.1191). <br>[18] Chuanzhong Li, Jingsong He. Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equations, (arXiv:1210.2501). </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/WASET-16th-foundational-anniversary.pdf">WASET celebrates its 16th foundational anniversary</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Account <li><a href="https://waset.org/profile">My Account</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Explore <li><a href="https://waset.org/disciplines">Disciplines</a></li> <li><a href="https://waset.org/conferences">Conferences</a></li> <li><a href="https://waset.org/conference-programs">Conference Program</a></li> <li><a href="https://waset.org/committees">Committees</a></li> <li><a href="https://publications.waset.org">Publications</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Research <li><a href="https://publications.waset.org/abstracts">Abstracts</a></li> <li><a href="https://publications.waset.org">Periodicals</a></li> <li><a href="https://publications.waset.org/archive">Archive</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Open Science <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Philosophy.pdf">Open Science Philosophy</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Award.pdf">Open Science Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Society-Open-Science-and-Open-Innovation.pdf">Open Innovation</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Postdoctoral-Fellowship-Award.pdf">Postdoctoral Fellowship Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Scholarly-Research-Review.pdf">Scholarly Research Review</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Support <li><a href="https://waset.org/page/support">Support</a></li> <li><a href="https://waset.org/profile/messages/create">Contact Us</a></li> <li><a href="https://waset.org/profile/messages/create">Report Abuse</a></li> </ul> </div> </div> </div> </div> </div> <div class="container text-center"> <hr style="margin-top:0;margin-bottom:.3rem;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" class="text-muted small">Creative Commons Attribution 4.0 International License</a> <div id="copy" class="mt-2">© 2024 World Academy of Science, Engineering and Technology</div> </div> </footer> <a href="javascript:" id="return-to-top"><i class="fas fa-arrow-up"></i></a> <div class="modal" id="modal-template"> <div class="modal-dialog"> <div class="modal-content"> <div class="row m-0 mt-1"> <div class="col-md-12"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> </div> </div> <div class="modal-body"></div> </div> </div> </div> <script src="https://cdn.waset.org/static/plugins/jquery-3.3.1.min.js"></script> <script src="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.waset.org/static/js/site.js?v=150220211556"></script> <script> jQuery(document).ready(function() { /*jQuery.get("https://publications.waset.org/xhr/user-menu", function (response) { jQuery('#mainNavMenu').append(response); });*/ jQuery.get({ url: "https://publications.waset.org/xhr/user-menu", cache: false }).then(function(response){ jQuery('#mainNavMenu').append(response); }); }); </script> </body> </html>