一个（2＋1）-维浅水波方程的精确解

摘要

In this paper,we consider a shallow wave equation,introduce the background knowledge about the soliton theory and the essentials of Hirota’s method,through a proper transformation,the soliton equation can be transformed into bilinear differential equations.Next,we obtained the exact n-Soliton solution by the perturbation method.finally,we get another type solution-Wronsky.%主要考虑一个浅水波方程,介绍了有关孤子理论和双线性算子的定义,通过变量代换,将孤子方程化为双线性形式的微分方程,再从方程的双线性导数形式出发,利用摄动法得到了孤子方程的n-孤子解.最后又求出它另外一种形式的Wronsky-解.