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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 180, Number 1, Pages 17–34
DOI: https://doi.org/10.4213/tmf8663 (Mi tmf8663) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Discrete equation on a square lattice with a nonstandard structure of generalized symmetries

R. N. Garifullina, A. V. Mikhailovb, R. I. Yamilova

a Institute of Mathematics with Computing Center, Ufa Science Center, RAS, Ufa, Russia
b University of Leeds, Department of Applied Mathematics, Leeds, UK
Full-text PDF (489 kB) Citations (18)
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DOI: https://doi.org/10.4213/tmf8663
Abstract: We clarify the integrability nature of a recently found discrete equation on the square lattice with a nonstandard symmetry structure. We find its $L$–$A$ pair and show that it is also nonstandard. For this discrete equation, we construct the hierarchies of both generalized symmetries and conservation laws. This equation yields two integrable systems of hyperbolic type. The hierarchies of generalized symmetries and conservation laws are also nonstandard compared with known equations in this class.
Keywords: discrete integrable equation, generalized symmetry, conservation law, $L$–$A$ pair.
Received: 18.02.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 180, Issue 1, Pages 765–780
DOI: https://doi.org/10.1007/s11232-014-0178-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. N. Garifullin, A. V. Mikhailov, R. I. Yamilov, “Discrete equation on a square lattice with a nonstandard structure of generalized symmetries”, TMF, 180:1 (2014), 17–34; Theoret. and Math. Phys., 180:1 (2014), 765–780
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8663
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    • This publication is cited in the following 18 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:63
    First page:125
     
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