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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 2, Pages 313–323
DOI: https://doi.org/10.4213/tmf1856 (Mi tmf1856) 		 
This article is cited in 26 scientific papers (total in 26 papers)

Multicomponent NLS-Type Equations on Symmetric Spaces and Their Reductions

V. S. Gerdjikova, G. G. Grahovskia, N. A. Kostovb

a Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences
b Institute of Electronics, Bulgarian Academy of Sciences
Full-text PDF (255 kB) Citations (26)
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DOI: https://doi.org/10.4213/tmf1856
Abstract: We analyze the fundamental properties of models of the multicomponent nonlinear Schrodinger (NLS) type related to symmetric spaces and construct new types of reductions of these systems. We briefly describe the spectral properties of the Lax operators L, which in turn determine the corresponding recursion operator Л and the fundamental properties of the relevant class of nonlinear evolution equations. The results are illustrated by specific examples of NLS-type systems related to the $\bold{DIII}$ symmetric space for the $so(8)$ algebra.
Keywords: multicomponent nonlinear Schrodinger equation, reduction group, symmetric spaces, Hamiltonian properties.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 2, Pages 1147–1156
DOI: https://doi.org/10.1007/s11232-005-0144-4
Bibliographic databases:
Language: Russian
Citation: V. S. Gerdjikov, G. G. Grahovski, N. A. Kostov, “Multicomponent NLS-Type Equations on Symmetric Spaces and Their Reductions”, TMF, 144:2 (2005), 313–323; Theoret. and Math. Phys., 144:2 (2005), 1147–1156
Citation in format AMSBIB
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    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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