We present a binary Darboux transformation for multicomponent NLS equations and their reduced integrable counterparts. The starting point is to apply two pairs of eigenfunctions and adjoint eigenfunctions, and the resulting binary Darboux transformation can be decomposed into an N-fold Darboux transformation. By taking the zero potential as a seed solution, soliton solutions are generated from the binary Darboux transformation for multicomponent NLS equations and their reductions.

中文翻译：

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多分量NLS方程的二元Darboux变换及其简化

我们为多分量NLS方程及其简化的可积对应物提供了二进制Darboux变换。起点是应用两对本征函数和伴随本征函数，然后将生成的二元Darboux变换分解为N倍Darboux变换。通过将零电势作为种子解，从二元Darboux变换中生成了多分量NLS方程及其约简的孤子解。