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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 123, Pages 67–76 (Mi znsl4135)  
This article is cited in 5 scientific papers (total in 6 papers)

Hamiltonian structure of polynomial bundles

P. P. Kulish, A. G. Reiman
Full-text PDF (549 kB) Citations (6)
Abstract: A general group-theoretic method is used to define the Hamiltonian structure of non-linear evolution equations whose Zakharov–Shabat potentials depend polynomially on the spectral parameter. Associated coadjoint orbits are determined. Generating functions for the $M$-operators and the densities and currents of the conservation laws are derived.
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: P. P. Kulish, A. G. Reiman, “Hamiltonian structure of polynomial bundles”, Differential geometry, Lie groups and mechanics. Part V, Zap. Nauchn. Sem. LOMI, 123, "Nauka", Leningrad. Otdel., Leningrad, 1983, 67–76
Citation in format AMSBIB
\Bibitem{KulRei83}
\by P.~P.~Kulish, A.~G.~Reiman
\paper Hamiltonian structure of polynomial bundles
\inbook Differential geometry, Lie groups and mechanics. Part~V
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 123
\pages 67--76
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4135}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=697242}
\zmath{https://zbmath.org/?q=an:0511.47010}
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  • https://www.mathnet.ru/eng/znsl4135
  • https://www.mathnet.ru/eng/znsl/v123/p67
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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