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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 182, Number 2, Pages 231–255
DOI: https://doi.org/10.4213/tmf8772 (Mi tmf8772) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Darboux integrability of discrete two-dimensional Toda lattices

S. V. Smirnov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (561 kB) Citations (22)
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DOI: https://doi.org/10.4213/tmf8772
Abstract: We prove the Darboux integrability of semidiscrete and discrete two-dimensional Toda lattices corresponding to simple Lie algebras of the $A$ and $C$ series.
Keywords: discrete Toda lattice, discrete exponential system, Darboux integrability, integral along characteristics.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-4833.2014.1
2010-220-01-077
Russian Foundation for Basic Research 14-01-00012_а
Received: 21.07.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 182, Issue 2, Pages 189–210
DOI: https://doi.org/10.1007/s11232-015-0257-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Smirnov, “Darboux integrability of discrete two-dimensional Toda lattices”, TMF, 182:2 (2015), 231–255; Theoret. and Math. Phys., 182:2 (2015), 189–210
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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