A simple fast method in finding particular solutions of some nonlinear PDE

被引：75
|
作者：
Liu, SK [1 ]
Fu, ZT
Liu, SD
Zhao, Q
机构：
[1] Peking Univ, Dept Geophys, Beijing 100871, Peoples R China
[2] Peking Univ, SKLTR, Beijing 100871, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2001年 / 22卷 / 03期
关键词：
trial function method; nonlinear PDE; shock wave solution; solitary wave solution;
D O I：
10.1023/A:1015514721870
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The "trial function method" ( TFM for short) and a routine way in finding traveling,wave solutions to some nonlinear partial differential equations( PDE for short), wer explained. Two types of evolution equations are studied, one is a generalized Burgers or KdV equation, the other is the Fisher equation with special nonlinear forms of its reaction rate term. One can see that this method is simple, fast and allowing further extension.
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页码：326 / 331
页数：6
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