一类五阶非线性演化方程的广义孤立波解和周期解

应用指数函数法,借助计算机代数系统获得了包括五阶KdV方程、Sawada-Kotera方程和Kaup-Kupershmit方程在内的一类五阶非线性演化方程的广义孤立波解和周期解.结果表明,指数函数法结合符号计算已成为解决数学物理中非线性演化方程的强有力工具.

Abstract：

In this paper,the exp-function method is used to obtain generalized solitary wave solutions and periodic solutions for a class of fifth-order nonlinear evolution equations,which include different forms of fifth-order KdV equations,Sawada-Kotera equations and Kaup-Kupershmit equations.The results show that the exp-function method,with the help of symbolic computation,provides a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.