The GLM representation of the global relation for the two-component nonlinear Schrödinger equation on the interval

DOI10.1063/1.4976188zbMath1361.35169arXiv1512.06313OpenAlexW2964137408MaRDI QIDQ2968455

Jian Xu, En-gui Fan

Publication date: 13 March 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06313

zbMATH Keywords

Riemann-Hilbert problemnonlinear Schrödinger equationintegrable equationManakov system

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Systems of nonlinear higher-order PDEs (35G50)

Related Items (2)

The initial-boundary value problem for the Sasa-Satsuma equation on a finite interval via the Fokas method ⋮ The GLM representation of the two-component nonlinear Schrödinger equation on the half-line

Cites Work

• Initial-boundary value problems for integrable evolution equations with \(3\times 3\) Lax pairs
• An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates
• An initial-boundary value problem for the Korteweg-de Vries equation
• Analysis of the global relation for the nonlinear Schrödinger equation on the half-line
• Integrable nonlinear evolution equations on the half-line
• Integrable nonlinear evolution equations on a finite interval
• On the integrability of linear and nonlinear partial differential equations
• Initial-Boundary Value Problem for Integrable Nonlinear Evolution Equation with 3 × 3 Lax Pairs on the Interval
• The unified method: III. Nonlinearizable problems on the interval
• The nonlinear Schrödinger equation on the interval
• A Unified Approach to Boundary Value Problems
• A unified transform method for solving linear and certain nonlinear PDEs
• The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs
• THE mKdV EQUATION ON THE HALF-LINE
• The Linearization of the Initial-Boundary Value Problem of the Nonlinear Schrödinger Equation
• The nonlinear Schrödinger equation on the half-line

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