一类非线性反应扩散方程的双曲函数级数解法

Hyperbolio Function Series Method for Solving a Kind of Nonlinear Reation Diffusion Equtions

对于一类非线性反应扩散方程ut-Duxx+λ(u3+αu2 +βu) =0 ,本文采用待定双曲函数的幂级数解法获得精确的孤波解 ,当D ,λ ,α ,β分别取不同值时 。

In this paper,the Hyperbolic function Series Method is used to solve a kind of nonlinear reaction diffusion eqution:u t-Du xx +λ(u 3+αu 2+βu)=0, we acquire its solutions of precise solitary wave.When D,λ,α,β equal special values respectively,we can deduce new richer solitary wave solutions of many famous equtions.