Some reverse space(RS) rational solutions for the nonlocal coupled nonlinear Schrödinger equations on the plane wave backgrounds

DOI10.1016/j.aml.2022.107976zbMath1490.35429OpenAlexW4212959795MaRDI QIDQ2143517

Yiyan Liu, Li Li, Fa-Jun Yu

Publication date: 31 May 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.107976

zbMATH Keywords

Darboux transformationrational solutionnonlocal coupled nonlinear Schrödinger equationsreverse space Lax pairs

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (3)

Transition of the breather wave of six-order nonlinear Schrödinger equation ⋮ Continuous limit and position adjustable rogue wave solutions for the semi-discrete complex coupled system associated with \(4\times 4\) Lax pair ⋮ \(N\)-fold Darboux transformation and exact solutions for the nonlocal Fokas-Lenells equation on the vanishing and plane wave backgrounds

Cites Work

• Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model
• Inverse scattering transformation and soliton stability for a nonlinear Gross-Pitaevskii equation with external potentials
• A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential
• Collisional dynamics of solitons in the coupled \(\mathcal{PT}\) symmetric nonlocal nonlinear Schrödinger equations
• Broken and unbroken solutions and dynamic behaviors for the mixed local-nonlocal Schrödinger equation
• Nonstandard bilinearization and interaction phenomenon for \textbf{PT}-symmetric coupled nonlocal nonlinear Schrödinger equations
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
• Integrable Nonlocal Nonlinear Equations
• Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation
• Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT-symmetric potentials

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