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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 3, Pages 9–19
DOI: https://doi.org/10.4213/faa200 (Mi faa200) 		 
This article is cited in 44 scientific papers (total in 44 papers)

Compatible Lie Brackets and Integrable Equations of the Principal Chiral Model Type

I. Z. Golubchika, V. V. Sokolovb

a Bashkir State Pedagogical University
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/faa200
Abstract: We consider two classes of integrable nonlinear hyperbolic systems on Lie algebras. These systems generalize the principal chiral model. Each system is related to a pair of compatible Lie brackets and has a Lax representation, which is determined by the direct sum decomposition of the Lie algebra of Laurent series into the subalgebra of Taylor series and the complementary subalgebra corresponding to the pair. New examples of compatible Lie brackets are given.
Keywords: compatible Lie brackets; principal chiral model; homogeneous subalgebras.
Received: 23.04.2001
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 3, Pages 172–181
DOI: https://doi.org/10.1023/A:1020141820038
Bibliographic databases:
Document Type: Article
UDC: 517.958+512.81
Language: Russian
Citation: I. Z. Golubchik, V. V. Sokolov, “Compatible Lie Brackets and Integrable Equations of the Principal Chiral Model Type”, Funktsional. Anal. i Prilozhen., 36:3 (2002), 9–19; Funct. Anal. Appl., 36:3 (2002), 172–181
Citation in format AMSBIB
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    • This publication is cited in the following 44 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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