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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 161, Number 3, Pages 318–326
DOI: https://doi.org/10.4213/tmf6443 (Mi tmf6443) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The structure of polynomial conservation laws

R. N. Garifullina, A. B. Shabatb

a Institute of Mathematics with Computing Center, Ufa Science Center, RAS, Ufa, Russia
b Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
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DOI: https://doi.org/10.4213/tmf6443
Abstract: We consider periodic closures of integrable chains. We establish a compact formula for the generating function of the conservation laws. This generating function is common to classical integrable chains related to various second-order spectral problems. We study the stabilization problem for the form of the conservation laws in the limit as the closure period tends to infinity.
Keywords: discrete equation, conservation law, chain.
Received: 30.04.2009
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 3, Pages 1590–1598
DOI: https://doi.org/10.1007/s11232-009-0147-7
Bibliographic databases:
Language: Russian
Citation: R. N. Garifullin, A. B. Shabat, “The structure of polynomial conservation laws”, TMF, 161:3 (2009), 318–326; Theoret. and Math. Phys., 161:3 (2009), 1590–1598
Citation in format AMSBIB
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    • This publication is cited in the following 1 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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