Modulational instability and rogue wave solutions for the mixed focusing-defocusing semi-discrete coherently coupled nonlinear Schrödinger system with \(4 \times 4\) Lax pair

DOI10.1016/j.aml.2023.108841zbMath1528.35170MaRDI QIDQ6066871

Xiao-Yong Wen, Xue-Ke Liu

Publication date: 16 November 2023

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

zbMATH Keywords

discrete generalized \((m, N-m)\)-fold Darboux transformationrogue wave with only one peak and no valleys

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Trigonometric solutions to PDEs (35C09)

Cites Work

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• The problem of integrable discretization: Hamiltonian approach
• Broken and unbroken solutions and dynamic behaviors for the mixed local-nonlocal Schrödinger equation
• Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz-Ladik equations with branched dispersion
• A semi-discrete integrable multi-component coherently coupled nonlinear Schrödinger system
• Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability
• Some general bright soliton solutions and interactions for a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation

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