In this paper we study the nonlocal reductions for the non-isospectral Ablowitz-Kaup-Newell-Segur equation. By imposing the real and complex nonlocal reductions on the non-isospectral Ablowitz-Kaup-Newell-Segur equation, we derive two types of nonlocal non-isospectral nonlinear Schrödinger equations, in which one is real nonlocal non-isospectral nonlinear Schrödinger equation and the other is complex nonlocal non-isospectral nonlinear Schrödinger equation. Of both of these two equations, there are the reverse time nonlocal type and the reverse space nonlocal type. Soliton solutions in terms of double Wronskian to the reduced equations are obtained by imposing constraint conditions on the double Wronskian solutions of the non-isospectral Ablowitz-Kaup-Newell-Segur equation. Dynamics of the one-soliton solutions are analyzed and illustrated by asymptotic analysis.

中文翻译：

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非局部非等谱非线性薛定谔方程的孤子解

在本文中，我们研究了非等光谱 Ablowitz-Kaup-Newell-Segur 方程的非局部约简。通过对非等谱 Ablowitz-Kaup-Newell-Segur 方程施加实数和复数非局部约简，我们推导了两类非局部非等谱非线性薛定谔方程，其中一类是实数非局部非等谱非线性薛定谔方程，另一类是非等谱非线性薛定谔方程。是复杂的非局部非等谱非线性薛定谔方程。这两个方程都有逆时非定域型和逆空间非定域型。通过对非等谱 Ablowitz-Kaup-Newell-Segur 方程的双 Wronskian 解施加约束条件，得到简化方程的双 Wronskian 孤子解。