Multicomponent NLS-type equations on symmetric spaces and their reductions

DOI10.1007/s11232-005-0144-4zbMath1178.35347OpenAlexW2006294323MaRDI QIDQ843851

Georgi G. Grahovski, Nikolay A. Kostov, Vladimir S. Gerdjikov

Publication date: 17 January 2010

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

Full work available at URL: https://doi.org/10.1007/s11232-005-0144-4

zbMATH Keywords

symmetric spacesreduction groupHamiltonian propertiesmulticomponent 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)

Related Items

Dynamics of repelling soliton collisions in coupled Schrödinger equations, Solutions of multi-component NLS models and spinor Bose-Einstein condensates, On integrable wave interactions and Lax pairs on symmetric spaces, Reduced AKNS spectral problems and associated complex matrix integrable models, Kulish-Sklyanin-type models: integrability and reductions, Dressing Method for the Degasperis-Procesi Equation, AN INTEGRABLE DECOMPOSITION OF THE SYMMETRIC MATRIX KdV EQUATION, Multicomponent Fokas–Lenells equations on Hermitian symmetric spaces, A matrix Lie superalgebra and its applications, Fordy-Kulish model and spinor Bose-Einstein condensate, The generalised Zakharov–Shabat system and the gauge group action, NLS-type equations from quadratic pencil of Lax operators: negative flows

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