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Fundamentalnaya i Prikladnaya Matematika, 2004, Volume 10, Issue 1, Pages 39–47 (Mi fpm753)  
This article is cited in 1 scientific paper (total in 1 paper)

Decompositions of the loop algebra over $\mathrm{so}(4)$ and integrable models of the chiral equation type

O. V. Efimovskayaa, V. V. Sokolovb

a M. V. Lomonosov Moscow State University
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
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Abstract: Decompositions of the loop algebra over $\mathrm{so}(4)$ are considered and the exactly integrable nonlinear hyperbolic systems of the principal chiral field equation type are analyzed. New example of such system is found and the Lax representation for this example is constructed.
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 6, Pages 4385–4391
DOI: https://doi.org/10.1007/s10958-006-0231-6
Bibliographic databases:
UDC: 517.958+512.77
Language: Russian
Citation: O. V. Efimovskaya, V. V. Sokolov, “Decompositions of the loop algebra over $\mathrm{so}(4)$ and integrable models of the chiral equation type”, Fundam. Prikl. Mat., 10:1 (2004), 39–47; J. Math. Sci., 136:6 (2006), 4385–4391
Citation in format AMSBIB
\Bibitem{EfiSok04}
\by O.~V.~Efimovskaya, V.~V.~Sokolov
\paper Decompositions of the loop algebra over $\mathrm{so}(4)$ and integrable models of the chiral equation type
\jour Fundam. Prikl. Mat.
\yr 2004
\vol 10
\issue 1
\pages 39--47
\mathnet{http://mi.mathnet.ru/fpm753}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2119751}
\zmath{https://zbmath.org/?q=an:1080.37071}
\transl
\jour J. Math. Sci.
\yr 2006
\vol 136
\issue 6
\pages 4385--4391
\crossref{https://doi.org/10.1007/s10958-006-0231-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33745678560}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Фундаментальная и прикладная математика
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    References:59
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