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Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 164, Pages 176–188 (Mi znsl5481)  
Compatible Poisson brackets for Lax equations and classical $r$-matrices

A. G. Reiman, M. A. Semenov-Tian-Shansky
Full-text PDF (2110 kB)
Abstract: For Lax equations and zero curvature equations with spectral parameter a family of compatible linear Poisson brackets is constructed.
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. G. Reiman, M. A. Semenov-Tian-Shansky, “Compatible Poisson brackets for Lax equations and classical $r$-matrices”, Differential geometry, Lie groups and mechanics. Part IX, Zap. Nauchn. Sem. LOMI, 164, "Nauka", Leningrad. Otdel., Leningrad, 1987, 176–188
Citation in format AMSBIB
\Bibitem{ReiSem87}
\by A.~G.~Reiman, M.~A.~Semenov-Tian-Shansky
\paper Compatible Poisson brackets for Lax equations and classical $r$-matrices
\inbook Differential geometry, Lie groups and mechanics. Part~IX
\serial Zap. Nauchn. Sem. LOMI
\yr 1987
\vol 164
\pages 176--188
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5481}
\zmath{https://zbmath.org/?q=an:0689.35091}
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  • https://www.mathnet.ru/eng/znsl5481
  • https://www.mathnet.ru/eng/znsl/v164/p176
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