Dark and antidark solitons for the defocusing coupled Sasa-Satsuma system by the Darboux transformation

DOI10.1016/j.aml.2018.09.002zbMath1410.35231OpenAlexW2891272898WikidataQ129237659 ScholiaQ129237659MaRDI QIDQ1726551

Fa Chen, Hai-Qiang Zhang

Publication date: 20 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2018.09.002

zbMATH Keywords

solitonDarboux transformationdefocusing coupled Sasa-Satsuma system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) KdV equations (Korteweg-de Vries equations) (35Q53) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (12)

Soliton control with inhomogeneous dispersion under the influence of tunable external harmonic potential ⋮ The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair ⋮ Periodic travelling waves and rogue waves for the higher-order modified Korteweg-de Vries equation ⋮ Conservation laws of deformed \(N\)-coupled nonlinear Schrödinger equations and deformed \(N\)-coupled Hirota equations ⋮ Rogue periodic waves in the fifth-order Ito equation ⋮ Interactions of solitons for a generalized nonlinear Schrödinger equation from the inhomogeneous Heisenberg ferromagnetic spin system ⋮ Soliton dynamics to the Higgs equation and its multi-component generalization ⋮ Lump-type and interaction solutions to an extended (3 + 1)-dimensional Jimbo–Miwa equation ⋮ Integrable nonholonomic deformation of modified Volterra lattice equation ⋮ Explicit solutions to a coupled integrable lattice equation ⋮ Riemann-Hilbert method for the three-component Sasa-Satsuma equation and its \(N\)-soliton solutions ⋮ Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background

Cites Work

• Inverse scattering approach to coupled higher-order nonlinear Schrödinger equation and \(N\)-soliton solutions
• Darboux transformation and dark soliton solution for the defocusing Sasa-Satsuma equation
• Painlevé Analysis of a Higher-Order Nonlinear Schrödinger Equation
• Binary Darboux transformation for the coupled Sasa-Satsuma equations
• Superregular breathers, characteristics of nonlinear stage of modulation instability induced by higher-order effects

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