Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type (−λ,λ)

The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type ( − λ , λ ) by imposing two nonlocal matrix restrictions of the AKNS matrix characteristic-value problems of arbitrary order. Based on the explored outspreading of characteristic-values and adjoint characteristi...

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Bibliographic Details
Published inInternational journal of geometric methods in modern physics Vol. 20; no. 6
Main Author Ma, Wen-Xiu
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 01.05.2023
World Scientific Publishing Co. Pte., Ltd
Subjects
Hierarchies
Research Article
Schrodinger equation
Solitary waves
nonlinear Schrödinger equations
soliton solution
nonlocal integrable equation
Integrable hierarchy
Riemann–Hilbert problem
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ISSN0219-8878
1793-6977
DOI10.1142/S0219887823500986

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Summary:The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type ( − λ , λ ) by imposing two nonlocal matrix restrictions of the AKNS matrix characteristic-value problems of arbitrary order. Based on the explored outspreading of characteristic-values and adjoint characteristic-values, exact soliton solutions are formulated by applying the associated reflectionless generalized Riemann–Hilbert problems, in which characteristic-values and adjoint characteristic-values could have a nonempty intersection. Illustrative models of the resultant mixed-type nonlocal integrable nonlinear Schrödinger equations are presented.
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ISSN:0219-8878
1793-6977
DOI:10.1142/S0219887823500986