(3+1)维Jimbo-Miwa方程新的精确解

New exact solutions of the(3+1)-dimensional Jimbo-Miwa equation

G′/G-展开法是一种非常有效的求解非线性发展方程精确解的方法。本文对G′/G-展开法进行了修改,并将修改后的G′/G-展开法应用于(3+1)维Jimbo-Miwa方程。借助Maple软件,获得了(3+1)维Jimbo-Miwa方程四类新的精确行波解。这些精确行波解包含了sinh函数和cosh函数的交互作用以及sin函数和cos函数的交互作用。我们通过一些三维图形展示了这些交互作用。

The G′/G-expansion method is a very effective method to solve the exact solutions of nonlinear evolution equations.In this paper,the G′/G-expansion method is modified and applied to the(3+1)-dimensional Jimbo Miwa equation.With the help of Maple software,four kinds of new exact travelling wave solutions of(3+1)-dimensional Jimbo Miwa equation are obtained.These exact traveling wave solutions include the interaction betweenthesinh function and cosh function,and the interaction betweenthe sin function and cos function.We show these interactions through some three-dimensional graphics.