Riemann-Hilbert approach and \(N\)-soliton solutions for a new two-component Sasa-Satsuma equation

DOI10.1007/s11071-020-05772-7zbMath1516.37088OpenAlexW3039259480MaRDI QIDQ6168776

Ting Su, Jia Wang, Ruomeng Li, Xiangguo Geng

Publication date: 9 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05772-7

zbMATH Keywords

\(N\)-soliton solutionRiemann-Hilbert approachtwo-component Sasa-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) Soliton equations (35Q51) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Related Items (6)

A novel Riemann–Hilbert approach via t-part spectral analysis for a physically significant nonlocal integrable nonlinear Schrödinger equation ⋮ Riemann-Hilbert approach and \(N\)-soliton solutions for a negative matrix AKNS system with a Hermitian symmetric space ⋮ The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair ⋮ Spectral and soliton structures for the four-component Kaup-Newell type negative flow equation ⋮ A two-component Sasa-Satsuma equation: large-time asymptotics on the line ⋮ Soliton solutions for a two-component generalized Sasa-Satsuma equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
• The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws
• Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
• High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
• Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies
• The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
• The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation
• Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation
• A vector general nonlinear Schrödinger equation with \((m+n)\) components
• Rogue periodic waves of the sine-Gordon equation
• Periodic and rational solutions of the reduced Maxwell-Bloch equations
• Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation
• Riemann-Hilbert approach of the Newell-type long-wave-short-wave equation via the temporal-part spectral analysis
• Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations
• Rogue wave spectra of the Sasa-Satsuma equation
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
• Long-time asymptotics of the coupled modified Korteweg-de Vries equation
• The unified transform method for the Sasa–Satsuma equation on the half-line
• The unified method: I. Nonlinearizable problems on the half-line
• The unified method: II. NLS on the half-line witht-periodic boundary conditions
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Sasa-Satsuma (complex modified Korteweg–de Vries II) and the complex sine-Gordon II equation revisited: Recursion operators, nonlocal symmetries, and more
• Binary Darboux transformation for the Sasa–Satsuma equation
• Squared eigenfunctions for the Sasa–Satsuma equation
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
• An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line
• Soliton solutions, Liouville integrability and gauge equivalence of Sasa Satsuma equation
• On a vector long wave‐short wave‐type model
• Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 × 4 Lax pair on a finite interval
• Integrable properties of the general coupled nonlinear Schrödinger equations
• The coupled Sasa–Satsuma hierarchy: Trigonal curve and finite genus solutions
• Soliton-radiation coupling in the parametrically driven, damped nonlinear Schrödinger equation

This page was built for publication: Riemann-Hilbert approach and \(N\)-soliton solutions for a new two-component Sasa-Satsuma equation