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Ufa Mathematical Journal, 2016, Volume 8, Issue 3, Pages 109–121
DOI: https://doi.org/10.13108/2016-8-3-109 (Mi ufa329) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Symmetries and conservation laws for a two-component discrete potentiated Korteweg–de Vries equation

M. N. Poptsova, I. T. Habibullin

Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
English version PDF (383 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.13108/2016-8-3-109
Abstract: In the work we discuss briefly a method for constructing a formal asymptotic solution to a system of linear difference equations in the vicinity of a special value of the parameter. In the case when the system is the Lax pair for some nonlinear equation on a square graph, the found formal asymptotic solution allows us to describe the conservation laws and higher symmetries for this nonlinear equation. In the work we give a complete description of a series of conservation laws and the higher symmetries hierarchy for a discrete potentiated two-component Korteweg–de Vries equation.
Keywords: integrable dynamical systems, equation on square graph, symmetries, conservation laws, Lax pair.
Funding agency Grant number
Russian Science Foundation 15-11-20007
Received: 22.01.2016
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35Q53, 37K10
Language: English
Original paper language: Russian
Citation: M. N. Poptsova, I. T. Habibullin, “Symmetries and conservation laws for a two-component discrete potentiated Korteweg–de Vries equation”, Ufa Math. J., 8:3 (2016), 109–121
Citation in format AMSBIB
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\by M.~N.~Poptsova, I.~T.~Habibullin
\paper Symmetries and conservation laws for a~two-component discrete potentiated Korteweg--de~Vries equation
\jour Ufa Math. J.
\yr 2016
\vol 8
\issue 3
\pages 109--121
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Linking options:
  • https://www.mathnet.ru/eng/ufa329
  • https://doi.org/10.13108/2016-8-3-109
  • https://www.mathnet.ru/eng/ufa/v8/i3/p113
    • This publication is cited in the following 1 articles:
    1. J.-Y. Shen, Zh.-Zh. Sun, “Two-level linearized and local uncoupled difference schemes for the two-component evolutionary korteweg-de vries system”, Numer. Meth. Part Differ. Equ., 36:1 (2020), 5–28  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:382
    Russian version PDF:137
    English version PDF:22
    References:49
     
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