Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations

DOI10.1016/j.aml.2021.107209zbMath1479.35829OpenAlexW3136589883MaRDI QIDQ2233276

Hanze Liu, Yarong Xia, Xiang-Peng Xin, Yu-Tang Liu

Publication date: 15 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107209

zbMATH Keywords

exact solutionintegrabilityDarboux transformationnonlocal couplings of AKNS equations

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 theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (9)

Darboux transformation, soliton solutions of the variable coefficient nonlocal modified Korteweg-de Vries equation ⋮ Nonlocal symmetry, exact solutions and conservation laws of the \((1+1)\)-dimensional Levi equation ⋮ Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations ⋮ Reduced nonlocal integrable mKdV equations of type (−λ, λ) and their exact soliton solutions ⋮ Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation ⋮ A \((2+1)\)-dimensional variable-coefficients extension of the Date-Jimbo-Kashiwara-Miwa equation: Lie symmetry analysis, optimal system and exact solutions ⋮ Lie symmetry analysis, exact solutions, optimal system and conservation laws for variable-coefficients Kundu–Mukherjee–Nasker equation ⋮ Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type (−λ,λ) ⋮ Soliton solutions and lump-type solutions to the \((2+1)\)-dimensional Kadomtsev-Petviashvili equation with variable coefficient

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