一个(1+1)-维孤子方程的精确解

The explicit solutions of a (1+1)-dimensional soliton equation

主要考虑一个(1+1)-维孤子方程,介绍了有关孤子理论和Hirota方法,通过适当的变量代换,将孤子方程化为双线性导数形式的微分方程,从方程的双线性导数形式出发,用摄动法得到孤子方程的n-孤子解.

In this paper, we consider a （1＋1）-dimensional soliton 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.