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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 2, Pages 5–15 (Mi pmtf1711)  
This article is cited in 5 scientific papers (total in 5 papers)

Regular partially invariant solutions of defect 1 of the equations of ideal magnetohydrodynamics

S. V. Golovinab

a Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University
Full-text PDF (222 kB) Citations (5)
Abstract: All irreducible regular partially invariant submodels with one noninvariant function for the equations of ideal magnetohydrodynamics are constructed. The submodels are completed to involution, and partially integrated. The submodels specify Ovsyannikov vortex type motion or motion with homogeneous deformation in some spatial directions.
Keywords: ideal magnetohydrodynamics, partially invariant solutions, overdetermined systems of differential equations.
Received: 06.11.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 2, Pages 171–180
DOI: https://doi.org/10.1007/s10808-009-0024-z
Bibliographic databases:
Document Type: Article
UDC: 533
Language: Russian
Citation: S. V. Golovin, “Regular partially invariant solutions of defect 1 of the equations of ideal magnetohydrodynamics”, Prikl. Mekh. Tekh. Fiz., 50:2 (2009), 5–15; J. Appl. Mech. Tech. Phys., 50:2 (2009), 171–180
Citation in format AMSBIB
\Bibitem{Gol09}
\by S.~V.~Golovin
\paper Regular partially invariant solutions of defect 1 of the equations of ideal magnetohydrodynamics
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 2
\pages 5--15
\mathnet{http://mi.mathnet.ru/pmtf1711}
\elib{https://elibrary.ru/item.asp?id=11839323}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 2
\pages 171--180
\crossref{https://doi.org/10.1007/s10808-009-0024-z}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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