两个变系数(2+1)-维孤子方程的显式解

Explicit Solutions of Two(2+1)-dimensional Soliton Equations with Variable Coefficients

应用双线性方法,结合一定的技巧,研究和讨论了两个变系数(2+1)-维孤子方程的显式解,给出了方程的单孤子解,双孤子解和N-孤子解,得到了(2+1)-维孤子方程不同于以往文献形式的新的显式解.

Using the bilinear method, with the help of some skills, explieit solutions of two （2＋ 1）-dimensional soliton equations with variable coefficients are discussed and studied, and new explicit solutions of these equations are obtained, inclu- ding one-soliton solution, two-soliton solution and N-soliton solution, which differ from the ones given in previous references.