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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 317, Pages 200–212 (Mi znsl721)  
This article is cited in 4 scientific papers (total in 4 papers)

On isomorphism of integrable cases of the Euler equations on the bi-hamiltonian manifolds $e(3)$ and $so(4)$

A. V. Tsiganov

Saint-Petersburg State University
Full-text PDF (208 kB) Citations (4)
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Abstract: The Poisson maps between the Clebsch model and the Schottky system, two Steklov systems, the Kowalevski top and the Neumann system are considered. We prove that these non-canonical transformations of variables are the twisted Poisson maps, which completely define the corresponding pairs of integrable systems.
Received: 26.10.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 1, Pages 3641–3647
DOI: https://doi.org/10.1007/s10958-006-0188-5
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. V. Tsiganov, “On isomorphism of integrable cases of the Euler equations on the bi-hamiltonian manifolds $e(3)$ and $so(4)$”, Questions of quantum field theory and statistical physics. Part 18, Zap. Nauchn. Sem. POMI, 317, POMI, St. Petersburg, 2004, 200–212; J. Math. Sci. (N. Y.), 136:1 (2006), 3641–3647
Citation in format AMSBIB
\Bibitem{Tsi04}
\by A.~V.~Tsiganov
\paper On isomorphism of integrable cases of the Euler equations on the bi-hamiltonian manifolds $e(3)$ and $so(4)$
\inbook Questions of quantum field theory and statistical physics. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 317
\pages 200--212
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl721}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120833}
\zmath{https://zbmath.org/?q=an:1136.37347}
\elib{https://elibrary.ru/item.asp?id=9129827}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 1
\pages 3641--3647
\crossref{https://doi.org/10.1007/s10958-006-0188-5}
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  • https://www.mathnet.ru/eng/znsl/v317/p200
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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