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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 58, Number 2, Pages 192–199 (Mi tmf4326)  
This article is cited in 4 scientific papers (total in 4 papers)

Nonlinear $\sigma$ model for the Dodd–Bullough equation

V. V. Nesterenko
Full-text PDF (830 kB) Citations (4)
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Abstract: It is shown that the Dodd–Bullough equation is related to the nonlinear two-dimensional $\rm SL(3,R)$ sigma model in which a triplet of massless fields takes values on a sphere of three-dimensional unimodular affine space in the same way that the sine-Gordon equation is related to the $S^2$ sigma model, which describes a three-component field with values on a sphere of ordinary three-dimensional Euclidean space. Equations of motion are obtained for the $\rm SL(3,R)$ sigma model.
Received: 03.05.1983
English version:
Theoretical and Mathematical Physics, 1984, Volume 58, Issue 2, Pages 126–131
DOI: https://doi.org/10.1007/BF01017916
Bibliographic databases:
Language: Russian
Citation: V. V. Nesterenko, “Nonlinear $\sigma$ model for the Dodd–Bullough equation”, TMF, 58:2 (1984), 192–199; Theoret. and Math. Phys., 58:2 (1984), 126–131
Citation in format AMSBIB
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\by V.~V.~Nesterenko
\paper Nonlinear $\sigma$ model for the Dodd--Bullough equation
\jour TMF
\yr 1984
\vol 58
\issue 2
\pages 192--199
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=743405}
\zmath{https://zbmath.org/?q=an:0541.53030}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 58
\issue 2
\pages 126--131
\crossref{https://doi.org/10.1007/BF01017916}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984TG27600004}
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  • https://www.mathnet.ru/eng/tmf/v58/i2/p192
    • This publication is cited in the following 4 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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    Full-text PDF :141
    References:80
    First page:1
     
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