For vector nonlocal reverse-space nonlinear Schrödinger equations, a binary Darboux transformation is formulated by using two sets of eigenfunctions and adjoint eigenfunctions. The resulting binary Darboux transformation has been decomposed into an $N$-fold product of single binary Darboux transformations. An application starting from zero seed potentials generates a class of soliton solutions.

中文翻译：

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矢量非局部逆空间非线性薛定谔方程的二值达布变换

对于向量非局部逆空间非线性薛定谔方程，通过使用两组特征函数和伴随特征函数来制定二元达布变换。所得的二元达布变换已分解为$氮$-单个二元达布变换的折叠乘积。从零种子势开始的应用会生成一类孤子解。