On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a \(4 \times 4\) matrix Lax pair

DOI10.1016/j.amc.2022.127202OpenAlexW4229045758WikidataQ113880725 ScholiaQ113880725MaRDI QIDQ2671843

Ling Zhang, Bei-Bei Hu, Ji Lin

Publication date: 3 June 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127202

zbMATH Keywords

Riemann-Hilbert probleminitial-boundary value problemsunified transform methodthree-coupled Hirota system

Mathematics Subject Classification ID

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

Related Items (6)

The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair ⋮ Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation ⋮ Algebro-geometric solutions of a \((2+1)\)-dimensional integrable equation associated with the Ablowitz-Kaup-Newell-Segur soliton hierarchy ⋮ Riemann-Hilbert problem for the fifth-order modified Korteweg–de Vries equation with the prescribed initial and boundary values ⋮ Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data ⋮ Riemann–Hilbert problem associated with the vector Lakshmanan–Porsezian–Daniel model in the birefringent optical fibers

Cites Work

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