The explicit bound-state soliton of Kundu equation derived by Riemann-Hilbert problem

DOI10.1016/J.AML.2022.108443zbMath1501.35276OpenAlexW4295763113WikidataQ114210434 ScholiaQ114210434MaRDI QIDQ2080886

Deqin Qiu, Yongshuai Zhang

Publication date: 11 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108443

zbMATH Keywords

Riemann-Hilbert problemKundu equationbound-state soliton

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) Soliton equations (35Q51) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Related Items (1)

Explicit Nth order solutions of Fokas–Lenells equation based on revised Riemann–Hilbert approach

Cites Work

• The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions
• Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions
• Inverse scattering transform for the Gerdjikov-Ivanov equation with nonzero boundary conditions
• Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole
• An exact solution for a derivative nonlinear Schrödinger equation
• The bound-state soliton solutions of the complex modified KdV equation
• Rogue wave and multi-pole solutions for the focusing Kundu-Eckhaus equation with nonzero background via Riemann-Hilbert problem method

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