Single and multi-solitary wave solutions to a class of nonlinear evolution equations

In this paper, an effective discrimination algorithm is presented to deal with equations arising from physical problems. The aim of the algorithm is to discriminate and derive the single traveling wave solutions of a large class of nonlinear evolution equations. Many examples are given to illustrate...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 343; no. 1; pp. 273 - 298
Main Authors:	Wang, Deng-Shan, Li, Hongbo
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01.07.2008 Elsevier
Subjects:	Bessel functions Elliptic equation Exact sciences and technology Factorization technique Global analysis, analysis on manifolds Hirota's bilinear method Mathematical analysis Mathematics Multi-solitary wave Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Painlevé analysis Partial differential equations Riccati equation Sciences and techniques of general use Special functions Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Travelling wave solution Elliptic equation Factorization technique Hirota's bilinear method Painlevé analysis Riccati equation Travelling wave solution Multi-solitary wave Bessel functions Wave equation Bessel function Solitary wave Evolution equation Nonlinear problems Camassa Holm equation Travelling wave Algorithm Non linear equation Direct method Algorithm performance Mathematical analysis Application Non linear wave
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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