一类反应扩散方程新的行波解

Travelling Wave Solutions to a Kind of Reaction Diffusion Equations

介绍了一种求解非线性偏微分方程行波解的方法——双函数法,利用该方法求得一类反应扩散方程在不同情况下的新的行波解,Chaffee-Infane方程和Huxley方程作为这一类反应扩散方程的特例也得到了相应的行波解。该方法还可推广到高维非线性反应扩散方程(组)进行求解。

A method to solve nonlinear partial differential equations is introduced. By using the double- function method, new travelling wave solutions to a kind of reaction diffusion equations are obtained under different circumstances. The corresponding travelling wave solutions for the particular case of the reaction diffusion equations, as Chaffee-Infane equation and be used to solve high-dimensional nonlinear reaction Huxley equation, are obtained. This method can also diffusion equations.