非线性反应扩散方程的显式精确解

Explicit and Exact Solutions to nonlinear Reaction Diffusion Equations

采用sine-cosine法并结合吴消元法,本文构造了一类1+1—维非线性反应扩散方程的若干显式精确解,其中包括新的孤波解。 这一方法也适合也适合于其它的非线性发展方程(组)。

In this paper, by using sine-cosine method and wu抯 elimination method, several explicit exact solutions are obtained for a class of 1+1dimensional nonlinear reaction diffusion equations, which contain new solitary wave solutions. The approach can be also applied to other nonlinear evolution equations.