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Regular and Chaotic Dynamics, 1998, Volume 3, Issue 2, Pages 3–9
DOI: https://doi.org/10.1070/RD1998v003n02ABEH000066 (Mi rcd934) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On algebro-geometric Poisson brakets for the Volterra lattice

A. P. Veselova, A. V. Penskoĭb

a Department of Mathematical Sciences, Loughborough University, Loughborough, LEll 3TU, UK
b Faculty of Mechanics and Mathematics, Department of Higher Geometry and Topology, Moscow State University, Vorob'ievy Gory, Moscow, 119899, Russia
Citations (5)
DOI: https://doi.org/10.1070/RD1998v003n02ABEH000066
Abstract: A generalization of the theory of algebro-geometric Poisson brackets on the space of finite-gap Schrodinger operators, developped by S.P.Novikov and A.P.Veselov, to the case of periodic zero-diagonal difference operators of second order is proposed. A necessary and sufficient condition for such a bracket to be compatible with higher Volterra flows is found.
Received: 05.07.1998
Bibliographic databases:
Document Type: Article
MSC: 34G20, 34L40
Language: English
Citation: A. P. Veselov, A. V. Penskoǐ, “On algebro-geometric Poisson brakets for the Volterra lattice”, Regul. Chaotic Dyn., 3:2 (1998), 3–9
Citation in format AMSBIB
\Bibitem{VesPen98}
\by A. P. Veselov, A. V. Pensko{\v\i}
\paper On algebro-geometric Poisson brakets for the Volterra lattice
\jour Regul. Chaotic Dyn.
\yr 1998
\vol 3
\issue 2
\pages 3--9
\mathnet{http://mi.mathnet.ru/rcd934}
\crossref{https://doi.org/10.1070/RD1998v003n02ABEH000066}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1693458}
\zmath{https://zbmath.org/?q=an:0938.37041}
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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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