Multicomponent nonlinear Schrödinger equations with constant boundary conditions

DOI10.1007/s11232-009-0067-6zbMath1179.35308OpenAlexW2090754754MaRDI QIDQ1034470

Nikolay A. Kostov, Tihomir I. Valchev, Vladimir S. Gerdjikov

Publication date: 6 November 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-009-0067-6

zbMATH Keywords

multicomponent nonlinear Schrödinger equationconstant boundary conditionfundamental analytic solution

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) Fundamental solutions to PDEs (35A08) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (1)

Boundary-value problems for the evolutionary Schrödinger equation. I

Cites Work

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• Nonlinear Schrödinger equations and simple Lie algebras
• Multicomponent nonlinear Schrödinger equation in the case of nonzero boundary conditions
• On the complete integrability of a nonlinear Schrödinger equation
• Multicomponent integrable wave equations: I. Darboux-dressing transformation
• Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions

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