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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 1, Pages 66–80
DOI: https://doi.org/10.4213/tmf6012 (Mi tmf6012) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Integrability conditions for an analogue of the relativistic Toda chain

R. I. Yamilov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (435 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6012
Abstract: We consider a class of discrete-differential equations that contains the relativistic Toda chain and is characterized by one arbitrary function of six variables. We derive three conditions that allow testing the integrability of any given equation in this class. In deriving these conditions, we use higher symmetries distinguishing the equations that are integrable via the inverse scattering method.
Keywords: relativistic Toda chain, higher symmetry, integrability condition.
Received: 03.08.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 1, Pages 492–504
DOI: https://doi.org/10.1007/s11232-007-0037-9
Bibliographic databases:
Language: Russian
Citation: R. I. Yamilov, “Integrability conditions for an analogue of the relativistic Toda chain”, TMF, 151:1 (2007), 66–80; Theoret. and Math. Phys., 151:1 (2007), 492–504
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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