The algebraic representation for high order solution of Sasa-Satsuma equation

DOI10.3934/dcdss.2016081zbMath1353.37134OpenAlexW2551454089MaRDI QIDQ728093

Liming Ling

Publication date: 22 December 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2016081

zbMATH Keywords

Darboux transformationhigh order solutionSasa-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) Loop groups and related constructions, group-theoretic treatment (22E67) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (10)

Higher-order rogue wave solutions of the Sasa–Satsuma equation ⋮ Inverse scattering transforms of the inhomogeneous fifth-order nonlinear Schrödinger equation with zero/nonzero boundary conditions ⋮ Partial-rogue waves that come from nowhere but leave with a trace in the Sasa-Satsuma equation ⋮ A two-component Sasa-Satsuma equation: large-time asymptotics on the line ⋮ Bound‐state soliton and rogue wave solutions for the sixth‐order nonlinear Schrödinger equation via inverse scattering transform method ⋮ Soliton solutions for a two-component generalized Sasa-Satsuma equation ⋮ High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem ⋮ Rogue waves in the nonlocal \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equation ⋮ On general rogue waves in the parity-time-symmetric nonlinear Schrödinger equation ⋮ Explicit solutions to a nonlocal 2-component complex modified Korteweg-de Vries equation

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