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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 194, Number 2, Pages 320–330
DOI: https://doi.org/10.4213/tmf9385 (Mi tmf9385) 		 
This article is cited in 3 scientific papers (total in 3 papers)

An effective algorithm for finding multidimensional conservation laws for integrable systems of hydrodynamic type

Z. V. Makridinab

a Novosibirsk State University, Novosibirsk, Russia
b Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (382 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9385
Abstract: We study a new property of integrable systems, the existence of infinitely many local three-dimensional conservation laws for pairs of integrable two-dimensional hydrodynamic chains. We describe an effective algorithm for successively computing an infinite set of three-dimensional conservation laws for the Benney pair of commuting flows.
Keywords: integrable system, overdetermined system, hydrodynamic Benney chain, Kadomtsev–Petviashvili equation, three-dimensional conservation law.
Funding agency Grant number
Russian Science Foundation 15-11-20013
This research was supported in part by a grant from the Russian Science Foundation (Project No. 15-11-20013).
Received: 20.04.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 194, Issue 2, Pages 274–283
DOI: https://doi.org/10.1134/S0040577918020071
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Z. V. Makridin, “An effective algorithm for finding multidimensional conservation laws for integrable systems of hydrodynamic type”, TMF, 194:2 (2018), 320–330; Theoret. and Math. Phys., 194:2 (2018), 274–283
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9385
  • https://www.mathnet.ru/eng/tmf/v194/i2/p320
    • 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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