Auxiliary equation method for solving nonlinear partial differential equations

被引：405
作者：
Sirendaoreji [1 ]
Sun, J
机构：
[1] Inner Mongolia Normal Univ, Dept Math, Hohhot 010022, Inner Mongolia, Peoples R China
[2] Inner Mongolia Univ, Dept Math, Hohhot 010021, Inner Mongolia, Peoples R China
来源：
PHYSICS LETTERS A | 2003年 / 309卷 / 5-6期
关键词：
auxiliary equation; travelling wave solution; symbolic computation;
D O I：
10.1016/S0375-9601(03)00196-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct several kinds of exact travelling wave solutions for some nonlinear partial differential equations. By this method some physically important nonlinear equations are investigated and new exact travelling wave solutions are explicitly obtained with the aid of symbolic computation. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：387 / 396
页数：10
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