中文摘要：

非线性Schroedinger方程是物理学中具有广泛应用的非线性模型之一．本文采用相似变换，将具有色散系数的（2＋1）维非线性Schrioedinger方程简化成熟知的Schroedinger方程，进而得到原方程的有理解和一些空间孤子．

英文摘要：

The nonlinear Schroedinger equation is one of the most important nonlinear models with widely applications in physics. Based on a similarity transformation, the （2＋1）-dimensional nonlinear Schroedinger equation with distributed coefficients is transformed into a traceable nonlinear Schroedinger equation, and then two types of rational solutions and several spatial solitons are derived.