2+1维Levi孤子方程的达布变换及精确解

Darboux Transformation and Exact Solutions of the (2+1)-dimensional Levi Soliton Equations

达布变换是获得孤子方程精确解十分有效的方法。本文利用谱问题的规范变换,为2+1维Levi孤子方程建立了达布变换,从而利用达布变换得到其精确解,且Levi孤子方程精确解的前两个例子被给出。

Darboux transformation is a very useful method for obtaining exact solutions of soliton equations. In the paper, by making use of gauge transformation of the spectral problem, we construct the Darboux transformation for the （2＋1）- dimensional Levi soliton equations, and the Darboux transformation method is used to find the exact solutions. We list the first two solutions of the Levi soliton equations