KdV方程初值问题之逆算符解法

Inverse Operator Solution for KdV Equation with Initial Value Problem

本文用逆算符方法并借助Mathematica ,简便地求出了KdV方程在一定初值条件下的单孤子解、双孤子解以及多孤子解。这种方法也适用于其它非线性孤波方程。

Using inverse operator method and the Mathematica,we obtain concisely single-soliton solution,two-soliton solutions and multi-soliton solutions of KdV equation with certain initial condition.The method also can be applied to other kinds of solitary wave equations.