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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 215, Pages 100–114 (Mi znsl5925)  
This article is cited in 10 scientific papers (total in 10 papers)

The zero-curvature representation for nonlinear $O(3)$ sigma-model

A. G. Bytsko

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (521 kB) Citations (10)
Abstract: We consider $O(З)$ sigma-model as a reduction of the principal chiral field. This approach allows to introduce the currents with ultralocal Poisson brackets and to obtain the zero-curvature equation which admits the fundamental Poisson bracket. Bibliography: 5 titles.
Received: 27.01.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 85, Issue 1, Pages 1619–1628
DOI: https://doi.org/10.1007/BF02355322
Bibliographic databases:
Document Type: Article
UDC: 530.145
Language: Russian
Citation: A. G. Bytsko, “The zero-curvature representation for nonlinear $O(3)$ sigma-model”, Differential geometry, Lie groups and mechanics. Part 14, Zap. Nauchn. Sem. POMI, 215, Nauka, St. Petersburg, 1994, 100–114; J. Math. Sci. (New York), 85:1 (1997), 1619–1628
Citation in format AMSBIB
\Bibitem{Byt94}
\by A.~G.~Bytsko
\paper The zero-curvature representation for nonlinear $O(3)$ sigma-model
\inbook Differential geometry, Lie groups and mechanics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 215
\pages 100--114
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5925}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1329977}
\zmath{https://zbmath.org/?q=an:0869.58023|0907.58027}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 85
\issue 1
\pages 1619--1628
\crossref{https://doi.org/10.1007/BF02355322}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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