The Sasa-Satsuma equation on a non-zero background: the inverse scattering transform and multi-soliton solutions

DOI10.1007/s10473-023-0305-2zbMath1524.35513OpenAlexW4367368938MaRDI QIDQ6159421

En-gui Fan, Yong Chen, Li-Li Wen

Publication date: 5 May 2023

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-023-0305-2

zbMATH Keywords

Riemann-Hilbert problemsoliton solutionSasa-Satsuma equationnonzero boundary conditionauxiliary eigenfunctions

Mathematics Subject Classification ID

Soliton equations (35Q51) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Cites Work

• Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value
• Long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger 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
• Semiclassical limit of the focusing NLS: Whitham equations and the Riemann-Hilbert problem approach
• Inverse scattering transform for the Gerdjikov-Ivanov equation with nonzero boundary conditions
• Bright-soliton collisions with shape change by intensity redistribution for the coupled Sasa-Satsuma system in the optical fiber communications
• Rogue wave spectra of the Sasa-Satsuma equation
• The unified transform method for the Sasa–Satsuma equation on the half-line
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Inverse Scattering Transform for the Multi-Component Nonlinear Schrödinger Equation with Nonzero Boundary Conditions
• The focusing Manakov system with nonzero boundary conditions
• Method for Solving the Korteweg-deVries Equation
• Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions
• Squared eigenfunctions for the Sasa–Satsuma equation
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• Long‐Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions at Infinity and Asymptotic Stage of Modulational Instability
• Binary Darboux transformation for the coupled Sasa-Satsuma equations
• Soliton solutions, Liouville integrability and gauge equivalence of Sasa Satsuma equation
• On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation
• Inverse Scattering Transform of the Coupled Sasa–Satsuma Equation by Riemann–Hilbert Approach
• Long‐time asymptotics of the nonlinear Schrödinger equation shock problem
• Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
• Exact envelope-soliton solutions of a nonlinear wave equation
• Semiclassical Limit of Focusing NLS for a Family of Square Barrier Initial Data
• Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions

This page was built for publication: The Sasa-Satsuma equation on a non-zero background: the inverse scattering transform and multi-soliton solutions