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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 3, Pages 441–451
DOI: https://doi.org/10.4213/tmf717 (Mi tmf717) 		 
This article is cited in 25 scientific papers (total in 25 papers)

Geometry and multidimensional soliton equations

R. Myrzakulov, A. K. Danlybaeva, G. N. Nugmanova

Institute of Physics and Technology, Ministry of Education and Science of the Republic of Kazakhstan
Full-text PDF (209 kB) Citations (25)
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DOI: https://doi.org/10.4213/tmf717
Abstract: The connection between the differential geometry of curves and $(2+1)$-dimensional integrable systems is established. The Zakharov equation, the modified Veselov–Novikov equation, the modified Korteweg–de Vries equation, etc., are equivalent in the Lakshmanan sense to $(2+1)$-dimensional spin systems.
English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 3, Pages 347–356
DOI: https://doi.org/10.1007/BF02557332
Bibliographic databases:
Language: Russian
Citation: R. Myrzakulov, A. K. Danlybaeva, G. N. Nugmanova, “Geometry and multidimensional soliton equations”, TMF, 118:3 (1999), 441–451; Theoret. and Math. Phys., 118:3 (1999), 347–356
Citation in format AMSBIB
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\by R.~Myrzakulov, A.~K.~Danlybaeva, G.~N.~Nugmanova
\paper Geometry and multidimensional soliton equations
\jour TMF
\yr 1999
\vol 118
\issue 3
\pages 441--451
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\crossref{https://doi.org/10.4213/tmf717}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1713735}
\zmath{https://zbmath.org/?q=an:0981.37022}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 3
\pages 347--356
\crossref{https://doi.org/10.1007/BF02557332}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000080492800015}
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  • https://www.mathnet.ru/eng/tmf717
  • https://doi.org/10.4213/tmf717
  • https://www.mathnet.ru/eng/tmf/v118/i3/p441
    • This publication is cited in the following 25 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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    References:87
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