具有混合非线性项的非线性 Schrodinger 方程是物理中的重要模型，同时在数学上也有很重要的价值。 本项目主要研究一类混合非线性项中包含质量临界项的非线性 Schrodinger 方程的散射理论。我们首先考虑混合非线性项为质量临界非聚焦项加上质量超临界并且能量临界或者次临界聚焦项的非线性 Schrodinger 方程在非径向情形的散射。 我们将建立非径向情形的 profile 分解，并且给出临界元的存在性，最后利用质量临界方程中的技术来排除临界元。我们还将处理混合非线性项为质量临界聚焦项加上质量超临界并且能量临界或者次临界非聚焦项的非线性 Schrodinger 方程的散射理论，通过研究这个方程的孤立子解给出散射区域，然后利用前一个方程的处理技术给出散射。 本项目的研究结果将会加深人们对相应的物理现象的理解。

The combined nonlinear Schrodinger equation is an important model in Physics, which is also very significant in Mathematics. The Program focuses on studying the scattering theory of the combined nonlinear Schrodinger equation with the nonlinear terms that contain the mass-critical one. We will consider scattering of the combined nonlinear Schrodinger equation with the nonlinear terms including the mass-critical defocusing term, the mass-supercritical and energy-critical or energy-subcritical focusing term. We will give the profile decomposition in the non-radial case, and show the existence of the critical element. The critical element will be excluded by using the technique arising in the mass-critical equation. We will also consider the scattering of the combined nonlinear Schrodinger equation with the nonlinear terms including the msss-critical focusing term, the mass-supercritical and energy-critical or energy-subcritical defocusing term. We will give the scattering area by the solitons of the equation, then by following a similar argument to the one above, we can get the scattering in this case. The result of the program will deepen the understanding of the corresponding physical phenomenon.