Riemann-Hilbert problems and soliton solutions for a generalized coupled Sasa-Satsuma equation
DOI10.1016/J.CNSNS.2022.107052OpenAlexW4312084674MaRDI QIDQ2684141
Wen-Xiu Ma, Wenxin Zhang, Yaqing Liu
Publication date: 16 February 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.107052
asymptotic analysissoliton solutionsintegrable hierarchiesRiemann-Hilbert methodgeneralized coupled Sasa-Satsuma equation
Asymptotic behavior of solutions to PDEs (35B40) 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) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
Related Items (2)
Cites Work
- Unnamed Item
- Dynamic patterns of high-order rogue waves for Sasa-Satsuma equation
- Variational identities and applications to Hamiltonian structures of soliton equations
- On a Riemann-Hilbert problem for the Fokas-Lenells equation
- High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
- The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation
- Integrable coupling of optical waves in higher-order nonlinear Schrödinger equations
- Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation
- Spectral and soliton structures of the Sasa-Satsuma higher-order nonlinear Schrödinger equation
- Riemann-Hilbert method for the three-component Sasa-Satsuma equation and its \(N\)-soliton solutions
- Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions
- Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method
- Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation
- Bright-soliton collisions with shape change by intensity redistribution for the coupled Sasa-Satsuma system in the optical fiber communications
- Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrödinger equation
- Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
- The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Binary Darboux transformation for the Sasa–Satsuma equation
- On Liouville integrability of zero-curvature equations and the Yang hierarchy
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure
- A simple model of the integrable Hamiltonian equation
- New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
- Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method
- Binary Darboux transformation for the coupled Sasa-Satsuma equations
- Soliton solutions, Liouville integrability and gauge equivalence of Sasa Satsuma equation
- Integrable properties of the general coupled nonlinear Schrödinger equations
- Inverse Scattering Transform of the Coupled Sasa–Satsuma Equation by Riemann–Hilbert Approach
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
This page was built for publication: Riemann-Hilbert problems and soliton solutions for a generalized coupled Sasa-Satsuma equation
