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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 84, Number 3, Pages 353–365 (Mi tmf5914)  
This article is cited in 1 scientific paper (total in 1 paper)

Matrix sine-Gordon equation

V. A. Andreev
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Abstract: A generalization of the sine-Gordon equation to the case when the unknown function is a matrix is considered. For it, Bäcklund transformations are constructed and used to find several exact solutions. The algebraic structure of the linear problem associated with this equation is studied. A connection between matrix Toda chains and self-dual Yang–Mills equations is found.
Received: 26.12.1989
English version:
Theoretical and Mathematical Physics, 1990, Volume 84, Issue 3, Pages 920–929
DOI: https://doi.org/10.1007/BF01017350
Bibliographic databases:
Language: Russian
Citation: V. A. Andreev, “Matrix sine-Gordon equation”, TMF, 84:3 (1990), 353–365; Theoret. and Math. Phys., 84:3 (1990), 920–929
Citation in format AMSBIB
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\by V.~A.~Andreev
\paper Matrix sine-Gordon equation
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\vol 84
\issue 3
\pages 353--365
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1084357}
\zmath{https://zbmath.org/?q=an:0732.35088}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 84
\issue 3
\pages 920--929
\crossref{https://doi.org/10.1007/BF01017350}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990FF85600003}
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  • https://www.mathnet.ru/eng/tmf/v84/i3/p353
    • 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
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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