The extended homogeneous balance method and its applications for a class of nonlinear evolution equations

The extended homogeneous balance method and its applications for a class of nonlinear evolution equations

The extended homogeneous balance method with the aid of computer algebraic system Maple, is proposed for seeking the travelling wave solutions for a class of nonlinear evolution equations, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear evol...

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Bibliographic Details
Published in:Chaos, solitons and fractals Vol. 33; no. 5; pp. 1512 - 1522
Main Authors: El-Wakil, S.A., Abulwafa, E.M., Elhanbaly, A., Abdou, M.A.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01-08-2007
Online Access:Get full text
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Summary:The extended homogeneous balance method with the aid of computer algebraic system Maple, is proposed for seeking the travelling wave solutions for a class of nonlinear evolution equations, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear evolution equations, respectively. Many new exact travelling wave solutions are successfully obtained. The method is straightforward and concise, and it can be also applied to other nonlinear evolution equations.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2006.03.010