基于Bell多项式的(2+1)维KdV方程双线性表示和孤子解

The Soliton Solutions and Bilinear Formulism of the (2+1) Dimensional KdV Equation with Binary Bell Polynomials

基于多维双线性Bell多项式,可以得到一些孤子方程的双线性表示.文章将这种方法应用于(2+1)维KdV方程,得出其双线性表示和孤子解.

To study the bilinear formulism of some soliton equations,we can base on the multi-dimensional binary Bell polynomials. We would like to extend this method to （2＋1） di-mensional KdV equation and present its soliton solutions.