In this paper, we study some Cauchy matrix type solutions for the nonlocal nonlinear Schrodinger equations, including Cauchy matrix type multisoliton solutions and Cauchy matrix type Jordan block solutions. These solutions are obtained from the Cauchy matrix type solutions of Ablowitz–Kaup–Newell–Segur equation through nonlocal reduction. The reduction procedure developed in this paper can apply to other systems which have Cauchy matrix type solutions and admit local and nonlocal reductions.

中文翻译：

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非局部非线性薛定谔方程的柯西矩阵类型解

在本文中，我们研究了非局部非线性薛定谔方程的一些柯西矩阵型解，包括柯西矩阵型多孤子解和柯西矩阵型 Jordan 块解。这些解是通过非局部归约从 Ablowitz-Kaup-Newell-Segur 方程的柯西矩阵类型解获得的。本文开发的归约程序可以应用于其他具有柯西矩阵类型解并允许局部和非局部归约的系统。