用(1/G)-展开法求KdV方程的精确解和孤立波解

Seeking for Exact Solutions and Solitary Wave Solutions for KdV Equation with (1/G)-Expansion Method

借助于Maple数学软件和齐次平衡原则,应用提出的(1/G)-展开法,获得了一类KdV方程的精确解和孤立波解。从求KdV方程解的过程看,提出的展开法更简单,易操作,是求非线性发展方程孤立波解的适当选择。

With the Maple mathematics software and the homogeneous balance principle,by using the （1/G）-expansion method is proposed,the exact solution and solitary wave solution a kind of KdV equation is obtained.From the investigating process of solution for the KdV equation,the expansion method proposed is simpler,easy to operate,is the suitable choice seeking for solitary wave solution of the non-linear development equation.