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Soliton solutions to the nonlocal non-isospectral nonlinear Schrödinger equation

Wei Feng

Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P. R. China

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and

Song-Lin Zhao

http://orcid.org/0000-0002-3726-1365

Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P. R. China

E-mail Address: songlinzhao@zjut.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0217979220502197Cited by:5 (Source: Crossref)

Abstract

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.

Keywords:

PACS: 02.30.Ik, 05.45.Yv

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