On the linearizable initial-boundary value problems for the Sasa-Satsuma equation on the half-line

DOI10.1016/J.AML.2023.108941OpenAlexW4389210105MaRDI QIDQ6202722

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Publication date: 27 February 2024

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

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108941

zbMATH Keywords

initial-boundary value problemRiemann-Hilbert problemFokas methodSasa-Satsuma equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Initial-boundary value problems for integrable evolution equations with \(3\times 3\) Lax pairs
• The Degasperis-Procesi equation on the half-line
• An initial-boundary value problem for the Korteweg-de Vries equation
• Initial-Boundary Value Problem for Integrable Nonlinear Evolution Equation with 3 × 3 Lax Pairs on the Interval
• A Unified Approach to Boundary Value Problems
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• A unified transform method for solving linear and certain nonlinear PDEs
• The nonlinear Schrödinger equation on the half-line

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