Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation

DOI10.4208/eajam.220920.250920zbMath1467.35281OpenAlexW3110052379MaRDI QIDQ4986580

Mingming Chen, Kedong Wang, Xiangguo Geng

Publication date: 27 April 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.220920.250920

zbMATH Keywords

long-time asymptoticsnonlinear steepest descent methodcoupled Sasa-Satsuma equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

Painlevé asymptotics for the coupled Sasa-Satsuma equation ⋮ Reverse-time type nonlocal Sasa–Satsuma equation and its soliton solutions ⋮ Sasa-Satsuma type matrix integrable hierarchies and their Riemann-Hilbert problems and soliton solutions ⋮ Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation

Cites Work

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• A vector general nonlinear Schrödinger equation with \((m+n)\) components
• Rogue wave spectra of the Sasa-Satsuma equation
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Long-time asymptotics of the coupled modified Korteweg-de Vries equation
• Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data
• Scattering and inverse scattering for first order systems
• Long-time asymptotics for the pure radiation solution of the sine—gordon equation

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