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Ufa Mathematical Journal, 2014, Volume 6, Issue 2, Pages 97–101
DOI: https://doi.org/10.13108/2014-6-2-97 (Mi ufa243) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Optimal system for the sum of two ideals admitted by the hydrodynamic type equations

S. V. Khabirov

Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences, Ufa, Russia
English version PDF (246 kB) Citations (12)
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DOI: https://doi.org/10.13108/2014-6-2-97
Abstract: We introduce the rules for constructing the optimal system of the dissimilar subalgebras for the sum of two ideals for which the optimal systems are known. As a result, we give the dissimilar subalgebra for five not yet considered Lie algebra admitted by the hydrodynamic type equations. It completes the listing of the subalgebras for the Lie algebras in the group classification of the gas dynamic models by the state equation.
Keywords: hydrodynamic type equations, Lie algebra, optimal system of subalgebras.
Received: 05.12.2013
Russian version:
Ufimskii Matematicheskii Zhurnal, 2014, Volume 6, Issue 2, Pages 99–103
Bibliographic databases:
Document Type: Article
UDC: 517.3
MSC: 35B06, 35Q35
Language: English
Original paper language: Russian
Citation: S. V. Khabirov, “Optimal system for the sum of two ideals admitted by the hydrodynamic type equations”, Ufimsk. Mat. Zh., 6:2 (2014), 99–103; Ufa Math. J., 6:2 (2014), 97–101
Citation in format AMSBIB
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\by S.~V.~Khabirov
\paper Optimal system for the sum of two ideals admitted by the hydrodynamic type equations
\jour Ufimsk. Mat. Zh.
\yr 2014
\vol 6
\issue 2
\pages 99--103
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\elib{https://elibrary.ru/item.asp?id=21596977}
\transl
\jour Ufa Math. J.
\yr 2014
\vol 6
\issue 2
\pages 97--101
\crossref{https://doi.org/10.13108/2014-6-2-97}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928172252}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Уфимский математический журнал
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    Abstract page:259
    Russian version PDF:118
    English version PDF:13
    References:46
     
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