一个(2+1)-维长水波方程的精确解

The Explicit Solutions of A(2+1)-Dimensional Long Wave Equation

主要考虑一个(2+1)-维长水波方程,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,最后又求得它的另外一种形式的Wronsky-解.

This paper examines a（2 ＋ 1）-dimensional long wave equation,through a proper transformation,the soliton equation can be transformed into bilinear differential equations.Next,the paper finds the exact n-Soliton solution by the perturbation method.Finally,another type solution-Wronsky is obtained.