The auxiliary elliptic-like equation and the exp-function method

被引：0
|
作者：
Hong Li
Jin-Liang Zhang
机构：
[1] Zhongyuan University of Technology,College of Science
[2] Henan University of Science and Technology,College of Science
来源：
Pramana | 2009年 / 72卷
关键词：
Auxiliary equation method; exp-function method; exact solution; RKL models; high-order nonlinear Schrödinger equation; Hamilton amplitude equation; generalized Hirota-Satsuma coupled KdV system; generalized ZK-BBM equation; 02.30.Jr;
D O I：
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中图分类号：
学科分类号：
摘要：
The auxiliary equation method is very useful for finding the exact solutions of the nonlinear evolution equations. In this paper, a new idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the auxiliary elliptic-like equation are derived using exp-function method, and then the exact solutions of the nonlinear evolution equations are derived with the aid of auxiliary elliptic-like equation. As examples, the RKL models, the high-order nonlinear Schrödinger equation, the Hamilton amplitude equation, the generalized Hirota-Satsuma coupled KdV system and the generalized ZK-BBM equation are investigated and the exact solutions are presented using this method.
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页码：915 / 925
页数：10
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