Inverse Scattering Transform of the Coupled Sasa–Satsuma Equation by Riemann–Hilbert Approach

DOI10.1088/0253-6102/67/5/527zbMath1365.35167OpenAlexW2623945581MaRDI QIDQ5269783

Jian-Ping Wu, Xiangguo Geng

Publication date: 28 June 2017

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/67/5/527

zbMATH Keywords

inverse scattering transformsoliton solutionRiemann-Hilbert approachcoupled Sasa-Satsuma equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Soliton solutions (35C08)

Related Items (12)

Inverse scattering transforms for the nonlocal Hirota–Maxwell–Bloch system ⋮ The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair ⋮ Vector bright soliton interactions of the coupled Sasa-Satsuma equations in the birefringent or two-mode fiber ⋮ Painlevé asymptotics for the coupled Sasa-Satsuma equation ⋮ Inverse scattering transform and soliton classification of higher-order nonlinear Schrödinger-Maxwell-Bloch equations ⋮ Riemann-Hilbert problems and soliton solutions for a generalized coupled Sasa-Satsuma equation ⋮ The Sasa-Satsuma equation on a non-zero background: the inverse scattering transform and multi-soliton solutions ⋮ Reverse-time type nonlocal Sasa–Satsuma equation and its soliton solutions ⋮ Stationary optical solitons with Sasa-Satsuma equation having nonlinear chromatic dispersion ⋮ Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method ⋮ The nonlinear steepest descent approach for long time behavior of the two-component coupled Sasa-Satsuma equation with a \(5 \times 5\) Lax pair ⋮ Spectral and soliton structures of the Sasa-Satsuma higher-order nonlinear Schrödinger equation

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