A generalized auxiliary equation method and its applications

被引：56
作者：
Abdou, M. A. [1 ,2 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Phys, Theoret Res Grp, Mansoura 35516, Egypt
[2] Fac Educ Girls, Dept Sci, Bisha, Saudi Arabia
来源：
NONLINEAR DYNAMICS | 2008年 / 52卷 / 1-2期
关键词：
generalized auxiliary equation method; soliton-like solutions; trigonometric function solution; exponential solution; rational solution;
D O I：
10.1007/s11071-007-9261-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a generalized auxiliary equation method with the aid of the computer symbolic computation system Maple is proposed to construct more exact solutions of nonlinear evolution equations, namely, the higher-order nonlinear Schrodinger equation, the Whitham-Broer-Kaup system, and the generalized Zakharov equations. As a result, some new types of exact travelling wave solutions are obtained, including soliton-like solutions, trigonometric function solutions, exponential solutions, and rational solutions. The method is straightforward and concise, and its applications are promising.
引用
收藏
页码：95 / 102
页数：8
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