The Riemann-Hilbert Approach to Initial-Boundary Value Problems for Integrable Coherently Coupled Nonlinear Schrodinger Systems on the Half-Line

DOI10.4208/eajam.080318.240418zbMath1466.35276OpenAlexW2890983908MaRDI QIDQ4985224

Wen-Xiu Ma, Tie-cheng Xia, Bei-Bei Hu

Publication date: 22 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.080318.240418

zbMATH Keywords

Riemann-Hilbert probleminitial boundary value problemunified transform methodcoherently coupled nonlinear Schrödinger system

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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Cites Work

• Integrable nonlinear evolution equations on the half-line
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Nonlinear-Evolution Equations of Physical Significance
• Periodic and solitary waves in systems of coherently coupled nonlinear envelope equations
• A unified transform method for solving linear and certain nonlinear PDEs
• Solutions of matrix NLS systems and their discretizations: a unified treatment
• The nonlinear Schrödinger equation on the half-line

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