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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 1, Pages 45–59 (Mi fpm4)  
This article is cited in 2 scientific papers (total in 2 papers)

On integrability of the Euler–Poisson equations

A. D. Brunoa, V. F. Edneralb

a M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
Full-text PDF (552 kB) Citations (2)
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Abstract: We consider a special case of the Euler–Poisson system of equations, describing the motion of a rigid body around a fixed point. We find 44 sets of stationary solutions near which the system is locally integrable. Ten of them are real. We study also the number of these complex stationary solutions in 3-dimensional invariant manifolds of the system. We find that the number is 4, 2, 1, or 0.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 152, Issue 4, Pages 479–489
DOI: https://doi.org/10.1007/s10958-008-9085-4
Bibliographic databases:
UDC: 517.925+531.38
Language: Russian
Citation: A. D. Bruno, V. F. Edneral, “On integrability of the Euler–Poisson equations”, Fundam. Prikl. Mat., 13:1 (2007), 45–59; J. Math. Sci., 152:4 (2008), 479–489
Citation in format AMSBIB
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\by A.~D.~Bruno, V.~F.~Edneral
\paper On integrability of the Euler--Poisson equations
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 1
\pages 45--59
\mathnet{http://mi.mathnet.ru/fpm4}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2322959}
\zmath{https://zbmath.org/?q=an:1149.70006}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 152
\issue 4
\pages 479--489
\crossref{https://doi.org/10.1007/s10958-008-9085-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-51749117810}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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