New Explicit and Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations

被引：0
|
作者：
Tie-cheng Xia
Hong-qing Zhang
Zhen-ya Yan
机构：
[1] Dalian University of Technology,Department of Mathematics
来源：
Applied Mathematics and Mechanics | 2001年 / 22卷
关键词：
equation; periodic solution; solitary wave solution;
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学科分类号：
摘要：
With the help of Mathematica, many travelling for a class of nonlinear evolution equations uu+ auxx+ bu + cu2+ du3 = 0 are obtained by using hyperbola function method and WU-elimination method, which include new travelling wave solutions, periodic solutions and kink soliton solutions. Some equations such as Duffing equation, sin-Gordon equation, Φ4 and Klein-Gordon equation are particular cases of the evolution equations. The method can also be applied to other nonlinear equations.
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页码：788 / 793
页数：5
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