Darboux transformation of Levi hierarchy is considered. It is used to generate new solutions of Levi equations. Some interesting solutions of 2+1 dimensional Levi equations are found.

• 通过对 Levi孤立子方程族的探讨 ；得出其 Darboux变换 ；并利用 Levi族构造出一个 2 +1维孤子方程 ；首次利用 Darboux变换求得 2 +1维孤立子的一些精确解 .