A Theory is presented to construct several types of self-trapping nonlinear modes in the two-dimensional model of binary Bose-Einstein condensate (BEC) with the repulsive dipole-dipole interaction (DDI) and the spatially confined spin-orbit coupling (SOC). The spatially confined SOC can be induced by illuminating spinor BEC with a Gaussian beam. It is found that the two-dimensional SOC of Rashba type within a confined area can help trap the composite matter-wave solitons. Under the combined effects of the repulsive DDI and the SOC, stable solitons of semi-vortex type and mixed-mode type can be found in ground state as well as in excited state. These solitons can still be stable when the topological number is up to 11. The properties and stability of the nonlinear modes is also studied in a moving frame of reference.

提出了一种理论，在具有排斥偶极-偶极相互作用（DDI）和空间受限自旋轨道耦合（SOC）的二元玻色-爱因斯坦凝聚物（BEC）二维模型中构造几种类型的自陷非线性模式。可以通过用高斯光束照射自旋BEC来诱导空间受限的SOC。研究发现，密闭空间内Rashba型二维SOC可以帮助俘获复合物波孤子。在排斥DDI和SOC的共同作用下，可以在基态和激发态下找到稳定的半涡旋型和混合模型孤子。这些孤子在拓扑数高达11时仍然可以保持稳定。还在移动的参考系中研究了非线性模的性质和稳定性。