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

被引：26

作者：

El-Wakil, S. A. ^{[1
]}

Abulwafa, E. M. ^{[1
]}

Elhanbaly, A. ^{[1
]}

Abdou, M. A. ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Phys, Theoret Res Grp, Mansoura, Egypt

来源：

CHAOS SOLITONS & FRACTALS | 2007年 / 33卷 / 05期

关键词：

D O I：

10.1016/j.chaos.2006.03.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1512 / 1522

页数：11

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