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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 245, Pages 149–165 (Mi znsl538)  
This article is cited in 1 scientific paper (total in 1 paper)

The transformation of Pohlmeyer and $(2+0)$ integrable equations of statistical physics

E. Sh. Gutshabash

Saint-Petersburg State University
Full-text PDF (236 kB) Citations (1)
Abstract: Using the transformation of Pohlmeyer in euclidean space it obtained the equation, which provide the possibility to construct the wide class of two-dimensional elliptical integrable systems. The question on a gauge equivalence of this systems with nonlinear sigma-model and Getmanov and Bitzadze models is investigated. The exact solution of some equations are constructed.
Received: 01.03.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 100, Issue 2, Pages 2105–2115
DOI: https://doi.org/10.1007/BF02675731
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: E. Sh. Gutshabash, “The transformation of Pohlmeyer and $(2+0)$ integrable equations of statistical physics”, Questions of quantum field theory and statistical physics. Part 14, Zap. Nauchn. Sem. POMI, 245, POMI, St. Petersburg, 1997, 149–165; J. Math. Sci. (New York), 100:2 (2000), 2105–2115
Citation in format AMSBIB
\Bibitem{Gut97}
\by E.~Sh.~Gutshabash
\paper The transformation of Pohlmeyer and $(2+0)$ integrable equations of statistical physics
\inbook Questions of quantum field theory and statistical physics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 245
\pages 149--165
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl538}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1627776}
\zmath{https://zbmath.org/?q=an:0970.37055}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 100
\issue 2
\pages 2105--2115
\crossref{https://doi.org/10.1007/BF02675731}
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  • https://www.mathnet.ru/eng/znsl/v245/p149
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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