The Riemann-Hilbert approach for the Chen-Lee-Liu equation with higher-order poles

DOI10.1016/j.aml.2023.108916zbMath1529.35473MaRDI QIDQ6141012

Bingwen Lin, Yongshuai Zhang

Publication date: 2 January 2024

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

zbMATH Keywords

solitonRiemann-Hilbert approachChen-Lee-Liu equationhigher-order poles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• The behaviour of solutions of NLS equation of derivative type in the semiclassical limit
• New integrable systems of derivative nonlinear Schrödinger equations with multiple components
• General rogue wave solutions under SU(2) transformation in the vector Chen-Lee-Liu nonlinear Schrödinger equation
• Riemann-Hilbert approach for a higher-order Chen-Lee-Liu equation with high-order poles
• Darboux transformation of the second-type derivative nonlinear Schrödinger equation
• Multi-Soliton Solutions of a Derivative Nonlinear Schrödinger Equation
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• Bilinearization of a Generalized Derivative Nonlinear Schrödinger Equation
• Explicit Nth order solutions of Fokas–Lenells equation based on revised Riemann–Hilbert approach
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