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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 138, Number 3, Pages 422–436
DOI: https://doi.org/10.4213/tmf30 (Mi tmf30) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Finite-Dimensional Discrete Systems Integrated in Quadratures

T. G. Kazakova

Sterlitamak State Pedagogical Institute
Full-text PDF (258 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf30
Abstract: We consider finite-dimensional reductions (truncations) of discrete systems of the type of the Toda chain with discrete time that retain the integrability. We show that for finite-dimensional chains, in addition to integrals of motion, we can construct a rich family of higher symmetries described by the master symmetry. We reduce the problem of integrating a finite-dimensional system to the implicit function theorem.
Keywords: integrability, truncation condition, zero-curvature equation, classical symmetry, master symmetry, integrals of motion.
Received: 04.04.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 138, Issue 3, Pages 356–369
DOI: https://doi.org/10.1023/B:TAMP.0000018452.62337.c8
Bibliographic databases:
Language: Russian
Citation: T. G. Kazakova, “Finite-Dimensional Discrete Systems Integrated in Quadratures”, TMF, 138:3 (2004), 422–436; Theoret. and Math. Phys., 138:3 (2004), 356–369
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\pages 356--369
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:65
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