Riemann-Hilbert method for the three-component Sasa-Satsuma equation and its \(N\)-soliton solutions
type: Item
instance of: scholarly article
title: Riemann-Hilbert method for the three-component Sasa-Satsuma equation and its \(N\)-soliton solutions
DOI: 10.1016/S0034-4877(20)30012-4
author: Siqi Xu
author: Ruomeng Li
author: Xianguo Geng
published in: Reports on Mathematical Physics
publication date: 2021-08-31T00:00:00Z
Mathematics Subject Classification ID: 35-XX
Mathematics Subject Classification ID: 65-XX
zbMATH DE Number: 7388506
zbMATH Keywords: three-component Sasa-Satsuma equation
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: \(N\)-soliton solutions
MaRDI profile type: Publication
cites work: New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
cites work: Q4327356
cites work: Soliton solutions, Liouville integrability and gauge equivalence of Sasa Satsuma equation
cites work: Sasa-Satsuma equation, unstable plane waves and heteroclinic connections
cites work: The unified transform method for the Sasa-Satsuma equation on the half-line
cites work: Binary Darboux transformation for the Sasa–Satsuma equation
cites work: The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation
cites work: The coupled Sasa–Satsuma hierarchy: Trigonal curve and finite genus solutions
cites work: Riemann-Hilbert problems of a six-component fourth-order AKNS system and its soliton solutions
cites work: High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
cites work: Dark and antidark solitons for the defocusing coupled Sasa-Satsuma system by the Darboux transformation
cites work: Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method
cites work: A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
cites work: Q3732103
cites work: Nonlinear Waves in Integrable and Nonintegrable Systems
cites work: Integrable properties of the general coupled nonlinear Schrödinger equations
cites work: Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
cites work: Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
cites work: Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation
cites work: The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
cites work: Q4420610
cites work: Q3102753
full work available at URL: s0034-4877(20)30012-4
OpenAlex ID: W3006758887
description: scientific article; zbMATH DE number 7388506