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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 235, Pages 273–286 (Mi znsl3654)  
This article is cited in 3 scientific papers (total in 3 papers)

Vacuum curves and classical integrable systems in $2+1$ discrete dimensions

I. G. Korepanov

Челябинский политехнический институт
Full-text PDF (591 kB) Citations (3)
Abstract: A dynamical system in discrete time is studied by means of algebraic geometry. This system has reductions which can be interpreted as classical field theory in the $2+1$ discrete space-time. The study is based on the technique of vacuum curves and vacuum vectors. The evolution of the system has hyperbolic character, i.e., has a finite propagation speed. Bibl. 10 titles.
Received: 02.04.1993
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 4, Pages 1620–1629
DOI: https://doi.org/10.1007/BF02365209
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: I. G. Korepanov, “Vacuum curves and classical integrable systems in $2+1$ discrete dimensions”, Differential geometry, Lie groups and mechanics. Part 15–2, Zap. Nauchn. Sem. POMI, 235, POMI, St. Petersburg, 1996, 273–286; J. Math. Sci. (New York), 94:4 (1999), 1620–1629
Citation in format AMSBIB
\Bibitem{Kor96}
\by I.~G.~Korepanov
\paper Vacuum curves and classical integrable systems in $2+1$ discrete dimensions
\inbook Differential geometry, Lie groups and mechanics. Part~15--2
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 235
\pages 273--286
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3654}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856102}
\zmath{https://zbmath.org/?q=an:0982.37075}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 4
\pages 1620--1629
\crossref{https://doi.org/10.1007/BF02365209}
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  • https://www.mathnet.ru/eng/znsl/v235/p273
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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