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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 115, Number 3, Pages 323–348
DOI: https://doi.org/10.4213/tmf877 (Mi tmf877) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Nonlinear $\sigma$-model in a curved space, gauge equivalence, and exact solutions of $(2+0)$-dimensional integrable equations

E. Sh. Gutshabasha, V. D. Lipovskii, S. S. Nikulichev

a V. A. Fock Institute of Physics, Saint-Petersburg State University
Full-text PDF (331 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf877
Abstract: We propose a nonlinear $\sigma$-model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We consider the Pohlmeyer transformation in Euclidean space and investigate the gauge equivalence conditions for a broad class of elliptic equations. We develop the inverse scattering transform method for the $\operatorname {sh}$-Gordon equation and evaluate its exact and asymptotic solutions.
Received: 14.01.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 115, Issue 3, Pages 619–638
DOI: https://doi.org/10.1007/BF02575486
Bibliographic databases:
Language: Russian
Citation: E. Sh. Gutshabash, V. D. Lipovskii, S. S. Nikulichev, “Nonlinear $\sigma$-model in a curved space, gauge equivalence, and exact solutions of $(2+0)$-dimensional integrable equations”, TMF, 115:3 (1998), 323–348; Theoret. and Math. Phys., 115:3 (1998), 619–638
Citation in format AMSBIB
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\paper Nonlinear $\sigma$-model in a curved space, gauge equivalence, and exact solutions of
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\pages 323--348
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\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 115
\issue 3
\pages 619--638
\crossref{https://doi.org/10.1007/BF02575486}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000075883900001}
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  • https://www.mathnet.ru/eng/tmf/v115/i3/p323
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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