The GLM representation of the two-component nonlinear Schrödinger equation on the half-line

DOI10.1016/S0252-9602(18)30851-8zbMath1438.35402OpenAlexW2898121882MaRDI QIDQ2313179

Qiaozhen Zhu, Jian Xu, En-gui Fan

Publication date: 18 July 2019

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

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30851-8

zbMATH Keywords

initial-boundary value problemGelfand-Levitan-Marchenko representationtwo-component nonlinear Schrödinger equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

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• The unified transform method for the Sasa–Satsuma equation on the half-line
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• The nonlinear Schrödinger equation on the interval
• Method for Solving the Korteweg-deVries Equation
• A unified transform method for solving linear and certain nonlinear PDEs
• The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs
• The Linearization of the Initial-Boundary Value Problem of the Nonlinear Schrödinger Equation
• Initial-boundary value problem for the two-component nonlinear Schrödinger equation on the half-line
• The nonlinear Schrödinger equation on the half-line
• Integrals of nonlinear equations of evolution and solitary waves

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