简单方程法求解非线性发展方程  

Simple Equation Method to look for Exact Solution of NEE

作　　者：方勤志[1] 郭玉翠[1] 

机构地区：[1]北京邮电大学理学院,北京100876

出　　处：《阜阳师范学院学报（自然科学版）》2007年第3期25-28,共4页Journal of Fuyang Normal University(Natural Science)

摘　　要：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.

关 键 词：SK方程 简单方程 PAINLEVE分析 孤立波解 

分 类 号：O175.29[理学—数学]