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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2015, Number 2(11), Pages 61–66
DOI: https://doi.org/10.18454/2079-6641-2015-11-2-61-66 (Mi vkam9) 		 
MATHEMATICAL MODELING

Painlevé test of a magnetohydrodynamics system

G. M. Vodinchar, D. S. Noshenko, A. S. Perezhogin

Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
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DOI: https://doi.org/10.18454/2079-6641-2015-11-2-61-66
Abstract: One approximation of magnetohydrodynamics equations, which describe the cosmic object's magnetic field, is considered. The analytic properties of a nonlinear system are investigated by Painlevé test. Values of the coefficients in a simplified magnetohydrodynamics system are calculated for the necessary condition of Painlevé property.
Keywords: Painlevé test, Kovalevski-Gambier method.
Received: 18.11.2015
English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2015, Volume 11, Issue 2, Pages 57–62
DOI: https://doi.org/10.18454/2313-0156-2015-11-2-57-62
Bibliographic databases:
Document Type: Article
UDC: УДК 517.9
MSC: 34A34
Language: Russian
Citation: G. M. Vodinchar, D. S. Noshenko, A. S. Perezhogin, “Painlevé test of a magnetohydrodynamics system”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2015, no. 2(11), 61–66; Bulletin KRASEC. Phys. & Math. Sci., 11:2 (2015), 57–62
Citation in format AMSBIB
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\by G.~M.~Vodinchar, D.~S.~Noshenko, A.~S.~Perezhogin
\paper Painlev\'e test of a magnetohydrodynamics system
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2015
\issue 2(11)
\pages 61--66
\mathnet{http://mi.mathnet.ru/vkam9}
\crossref{https://doi.org/10.18454/2079-6641-2015-11-2-61-66}
\elib{https://elibrary.ru/item.asp?id=25029419}
\transl
\jour Bulletin KRASEC. Phys. & Math. Sci.
\yr 2015
\vol 11
\issue 2
\pages 57--62
\crossref{https://doi.org/10.18454/2313-0156-2015-11-2-57-62}
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