An initial-boundary value problem for the general three-component nonlinear Schrödinger equations on a finite interval

DOI10.1093/IMAMAT/HXAB007zbMath1477.35248arXiv1704.08561OpenAlexW3155041179MaRDI QIDQ5009258

Zhenya Yan

Publication date: 19 August 2021

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08561

zbMATH Keywords

initial-boundary value problemRiemann-Hilbert probleminverse scatteringDirichlet and Neumann problemsglobal relationGel'fand-Levitan-Marchenko representationgeneral three-component nonlinear Schrödinger equations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) 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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Initial-boundary value problems for the two-component complex modified Korteweg-de Vries equation on the interval ⋮ Riemann-Hilbert problem for the fifth-order modified Korteweg–de Vries equation with the prescribed initial and boundary values ⋮ Inverse scattering transform of the general three-component nonlinear Schrödinger equation and its multisoliton solutions

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