中文摘要：

在已知的映射方程解的基础之上，利用自相似映射方法，通过选择合适的系统参数，给出具有分布系数的（2＋1）维非线性薛定谔系统丰富的精确自相似解，得出系统的可积约束条件，并讨论自相似解的动力学行为。

英文摘要：

Based on the known exact solutions to a self-similar mapping equation, with the aid of a direct self- similar mapping approach, abundant exact self-similar solutions to the （2 ＋1）-dimensional generalized nonlinear Schrodinger equation with distributed coefficients is derived by entrancing appropriate system parameters. The integrable constraint conditions for the （2＋1）-dimensional generalized nonlinear Schr6dinger system is obtained naturally. Meanwhile, the dynamic behaviors of the self-similar solutions are discussed.