The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair

DOI10.1007/S13324-022-00716-3zbMath1496.35170OpenAlexW4292291687WikidataQ113899296 ScholiaQ113899296MaRDI QIDQ2165714

Bei-Bei Hu, Ji Lin, Ling Zhang

Publication date: 22 August 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-022-00716-3

zbMATH Keywords

Riemann-Hilbert probleminitial-boundary value problemstwo-component Sasa-Satsuma equationunified transformation method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Volterra integral equations (45D05) Riemann-Hilbert problems in context of PDEs (35Q15) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (5)

Riemann-Hilbert approach to the focusing and defocusing nonlocal derivative nonlinear Schrödinger equation with step-like initial data ⋮ Riemann-Hilbert problem for the fifth-order modified Korteweg–de Vries equation with the prescribed initial and boundary values ⋮ A two-component Sasa-Satsuma equation: large-time asymptotics on the line ⋮ Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data ⋮ Nonlocal Kundu–Eckhaus equation: integrability, Riemann–Hilbert approach and Cauchy problem with step-like initial data

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