简单方程法求解非线性发展方程

Simple Equation Method to look for Exact Solution of NEE

利用已知精确解的简单方程求解高阶非线性发展方程,以SK方程为例,利用简单方程和Painleve截断展开法,求出该方程的多组行波解,包括孤立波解和类孤立波解,以及若干周期函数解,这种方法还可以用来求解其他高阶非线性发展方程.

Applying the simple equation whose exact solutions are already known,we research exact solutions of highlevel nonlinear differential equations. For example SK equation, using simple equation and Painleve test , we get many solutions of SK equation, including soliton solutions and some periods solutions. The method can be used to the other nonlinear differential equations too.