摘要
简单介绍了应用一个简洁的“试探函数法”求解非线性偏微分方程的基本步骤 ,主要研究了两大类方程 ,一类是Burgers方程或KdV方程的推广 ,另一类是具有特殊非线性反应率的Fisher方程· 不难看出 ,这个方法是简洁的 。
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.
出处
《应用数学和力学》
EI
CSCD
北大核心
2001年第3期281-286,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金重点资助项目! (4 0 0 350 10 )
科技部攀登特别支持费资助
