A mapping method for obtaining exact travelling wave solutions to nonlinear evolution equations

被引：0
|
作者：
Peng, YZ [1 ]
机构：
[1] Peking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R China
来源：
CHINESE JOURNAL OF PHYSICS | 2003年 / 41卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A mapping method is described for obtaining exact travelling wave solutions to nonlinear evolution equations. By means of this method, solitary wave, periodic wave, and kink wave (or shock wave) solutions, which; are the three types of travelling waves of particular interest, can, if they exist, be obtained simultaneously for the equation in questions as long as odd- and even-order derivative terms do not coexist in the equation. A generalized Kawahara equation and sinh-Poisson equation are studied to illustrate this method, and some new results are presented.
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页码：103 / 110
页数：8
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