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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, Number 3(14), Pages 29–33 (Mi vkam141)  
MATHEMATICAL MODELING

About Painleve property of a hydrodynamic system

G. M. Vodincharab, D. S. Noshñhenkoba, A. S. Perezhoginab†

a Institute of Cosmophysical Researches and Radio Wave Propagation, Far East Division, Russian Academy of Sciences
b Kamchatka State University named after Vitus Bering

Abstract: We represent conditions of hydrodynamic system when it passes the Painleve test. We use Kovaleskaya-Gambie method for fourth order ordinary differential system. We obtain Lorenz-like dynamic, hydrodynamic system.

Keywords: Painleve test, Lorenz-like dynamic, hydrodynamic system.
† Author to whom correspondence should be addressed

DOI: https://doi.org/10.18454/2079-6641-2016-14-3-29-33

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UDC: 517.956
MSC: Primary 76W05; Secondary 86A25
Received: 11.08.2016
Language:

Citation: G. M. Vodinchar, D. S. Noshñhenko, A. S. Perezhogin, “About Painleve property of a hydrodynamic system”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 3(14), 29–33

Citation in format AMSBIB
\Bibitem{VodNosPer16}
\by G.~M.~Vodinchar, D.~S.~Noshñhenko, A.~S.~Perezhogin
\paper About Painleve property of a hydrodynamic system
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2016
\issue 3(14)
\pages 29--33
\mathnet{http://mi.mathnet.ru/vkam141}
\crossref{https://doi.org/10.18454/2079-6641-2016-14-3-29-33}
\elib{https://elibrary.ru/item.asp?id=27374028}


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