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New Application of EHTA for the Generalized(2+1)-Dimensional Nonlinear Evolution Equations
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/></div></noscript> <!-- /Yandex.Metrika counter --> <!-- Matomo --> <!-- End Matomo Code --> <title>New Application of EHTA for the Generalized(2+1)-Dimensional Nonlinear Evolution Equations</title> <meta name="description" content="New Application of EHTA for the Generalized(2+1)-Dimensional Nonlinear Evolution Equations"> <meta name="keywords" content="EHTA, (2+1)-dimensional CBS equations, (2+1)-dimensional breaking solution equation, Hirota's bilinear form."> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <meta name="citation_title" content="New Application of EHTA for the Generalized(2+1)-Dimensional Nonlinear Evolution Equations"> <meta name="citation_author" content="Mohammad Taghi Darvishi"> <meta name="citation_author" content="Maliheh Najafi"> <meta name="citation_author" content="Mohammad Najafi"> <meta name="citation_publication_date" content="2010/01/22"> <meta 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Generalized(2+1)-Dimensional Nonlinear Evolution Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mohammad%20Taghi%20Darvishi">Mohammad Taghi Darvishi</a>, <a href="https://publications.waset.org/search?q=Maliheh%20Najafi"> Maliheh Najafi</a>, <a href="https://publications.waset.org/search?q=Mohammad%20Najafi"> Mohammad Najafi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, the generalized (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (shortly CBS) equations are investigated. We employ the Hirota-s bilinear method to obtain the bilinear form of CBS equations. Then by the idea of extended homoclinic test approach (shortly EHTA), some exact soliton solutions including breather type solutions are presented.</p> <iframe src="https://publications.waset.org/13986.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=EHTA" title="EHTA">EHTA</a>, <a href="https://publications.waset.org/search?q=%282%2B1%29-dimensional%20CBS%20equations" title=" (2+1)-dimensional CBS equations"> (2+1)-dimensional CBS equations</a>, <a href="https://publications.waset.org/search?q=%282%2B1%29-dimensional%20breaking%20solution%20equation" title=" (2+1)-dimensional breaking solution equation"> (2+1)-dimensional breaking solution equation</a>, <a href="https://publications.waset.org/search?q=Hirota%27s%20bilinear%20form." title=" Hirota's bilinear form."> Hirota's bilinear form.</a> </p> <p class="card-text"><strong>Digital Object Identifier (DOI):</strong> <a href="https://doi.org/10.5281/zenodo.1082135" target="_blank">doi.org/10.5281/zenodo.1082135</a> </p> <a href="https://publications.waset.org/13986/new-application-of-ehta-for-the-generalized21-dimensional-nonlinear-evolution-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13986/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13986/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13986/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13986/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13986/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13986/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13986/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13986/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13986/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13986/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13986.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">1488</span> </span> <p class="card-text"><strong>References:</strong></p> <br>[1] J.H. 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Darvishi, Preconditioning and domain decomposition schemes to solve PDEs, Int-l J. of Pure and Applied Math. 1(4) (2004) 419-439. <br>[13] M.T. Darvishi, S. Kheybari and F. Khani, A numerical solution of the Korteweg-de Vries equation by pseudospectral method using Darvishi-s preconditionings, Appl. Math. Comput. 182(1) (2006) 98-105. <br>[14] M.T. Darvishi, M. Javidi, A numerical solution of Burgers- equation by pseudospectral method and Darvishi-s preconditioning, Appl. Math. Comput. 173(1) (2006) 421-429. <br>[15] M.T. Darvishi, F. Khani and S. Kheybari, Spectral collocation solution of a generalized Hirota-Satsuma KdV equation, Int. J. Comput. Math. 84(4) (2007) 541-551. <br>[16] M.T. Darvishi, F. Khani, S. Kheybari, Spectral collocation method and Darvishi-s preconditionings to solve the generalized Burgers-Huxley equation, Commun., Nonlinear Sci. Numer. Simul. 13(10) (2008) 2091- 2103. <br>[17] S.J. 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