试探函数法与组合KdV方程的显示精确行波解

Trial Function Method and Explicit Exact Travelling Wave Solutions for the Combined KdV Equation

构造了与Riccati方程有关的试探函数,利用待定系数法求出组合KdV方程的解的形式,对已有文献中给出的Riccati方程的解进行分类,得到组合KdV方程的多个精确解.

A new trial function related to the Riccati equation is constructed,firstly. Then, the formal type solution for combined KdV is obtained by use of the undetermined coefficients method. Finally,some exact solutions of the combined KdV equation are given by classification of the solutions of the Riccati equation in literature.