非线性耦合KdV-mKdV方程组新的精确行波解

Exact Traveling Wave Solutions of the Nonlinear Coupled KdV-mKdV Equation

以直接截断法为基础,构造出非线性耦合KdV-mKdV方程组的精确行波解.借助符号计算软件Maple,得到了此方程组的一些新的精确解,其中包括类孤子解和定周期解.这种方法简单明了,也可以适用于其它非线性发展方程解的计算.

The repeated direct truncation method is used to construct new exact traveling wave solutions of the nonlinear coupled KdV-mKdV equation.With the aid of Maple,many new exact traveling wave solutions are successfully obtained,which contain soliton-like and periodic-like solutions.This method is straightforward and concise,and it can be also applied to other nonlinear evolution equations.