A new auxiliary equation and exact travelling wave solutions of nonlinear equations

被引：135
作者：
Sirendaoreji [1 ]
机构：
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Inner Mongolia, Peoples R China
来源：
PHYSICS LETTERS A | 2006年 / 356卷 / 02期
基金：
中国国家自然科学基金;
关键词：
auxiliary equation; travelling wave solution; nonlinear equation;
D O I：
10.1016/j.physleta.2006.03.034
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new auxiliary ordinary differential equation and its solutions are used for constructing exact travelling wave solutions of nonlinear partial differential equations in a unified way. The main idea of this method is to take full advantage of the auxiliary equation which has more new exact solutions. More new exact travelling wave solutions are obtained for the quadratic nonlinear Klein-Gordon equation, the combined KdV and mKdV equation, the sine-Gordon equation and the Whitham-Broer-Kaup equations. (c) 2006 Elsevier B.V. All rights reserved.
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页码：124 / 130
页数：7
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