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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 193, Number 3, Pages 369–380
DOI: https://doi.org/10.4213/tmf9400
(Mi tmf9400)
 

This article is cited in 2 scientific papers (total in 2 papers)

Hamiltonian operators in differential algebras

V. V. Zharinov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (497 kB) Citations (2)
References:
Abstract: We develop a previously proposed algebraic technique for a Hamiltonian approach to evolution systems of partial differential equations including constrained systems and propose a defining system of equations (suitable for computer calculations) characterizing the Hamiltonian operators of a given form. We demonstrate the technique with a simple example.
Keywords: differential algebra, Lie–Poisson structure, Jacobi identity, Hamiltonian operator, Hamiltonian evolution system.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This research is supported by a grant from the Russian Science Foundation (project No. 14-50-00005).
Received: 22.05.2017
English version:
Theoretical and Mathematical Physics, 2017, Volume 193, Issue 3, Pages 1725–1736
DOI: https://doi.org/10.1134/S0040577917120017
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zharinov, “Hamiltonian operators in differential algebras”, TMF, 193:3 (2017), 369–380; Theoret. and Math. Phys., 193:3 (2017), 1725–1736
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9400
  • https://doi.org/10.4213/tmf9400
  • https://www.mathnet.ru/eng/tmf/v193/i3/p369
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    This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:452
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    References:71
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