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Mathematics of the USSR-Sbornik, 1980, Volume 36, Issue 1, Pages 127–134
DOI: https://doi.org/10.1070/SM1980v036n01ABEH001778 (Mi sm2268) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Completely integrable Hamiltonian systems on a group of triangular matrices

A. A. Arkhangel'skii
English version PDF (527 kB) Citations (23)
References:
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DOI: https://doi.org/10.1070/SM1980v036n01ABEH001778
Abstract: In this paper there is constructed a family of Hamiltonians on the dual space to a Lie algebra of triangular matrices for which the Euler equations are completely integrable in the sense of Liouville on orbits in general position.
Bibliography: 4 titles.
Received: 30.03.1978
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 108(150), Number 1, Pages 134–142
Bibliographic databases:
UDC: 519.46
MSC: Primary 58F05; Secondary 34C35, 70H15, 70G10
Language: English
Original paper language: Russian
Citation: A. A. Arkhangel'skii, “Completely integrable Hamiltonian systems on a group of triangular matrices”, Mat. Sb. (N.S.), 108(150):1 (1979), 134–142; Math. USSR-Sb., 36:1 (1980), 127–134
Citation in format AMSBIB
\Bibitem{Ark79}
\by A.~A.~Arkhangel'skii
\paper Completely integrable Hamiltonian systems on a~group of triangular matrices
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 108(150)
\issue 1
\pages 134--142
\mathnet{http://mi.mathnet.ru/sm2268}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=524217}
\zmath{https://zbmath.org/?q=an:0433.58015|0425.58013}
\transl
\jour Math. USSR-Sb.
\yr 1980
\vol 36
\issue 1
\pages 127--134
\crossref{https://doi.org/10.1070/SM1980v036n01ABEH001778}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM22400009}
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  • https://doi.org/10.1070/SM1980v036n01ABEH001778
  • https://www.mathnet.ru/eng/sm/v150/i1/p134
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:431
    Russian version PDF:134
    English version PDF:13
    References:64
     
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