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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 122, Number 2, Pages 305–309
DOI: https://doi.org/10.4213/tmf1933 (Mi tmf1933) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A quest for the integrable equation in $3+1$ dimensions

Yu. Song-Ju, K. Toda, T. Fukuyama

Ritsumeikan University
Full-text PDF (159 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf1933
Abstract: The $L$ and $T$ operators of the Korteweg–de Vries equation are modified to seek a $(3+1)$-dimensional integrable equation. However, the Lax equation in this case is eventually reduced to a $(2+1)$-dimensional equation. We also propose other modified equations and their Lax pairs. A similar attempt is made to derive a higher-dimensional Harry Dym (HD) equation. As a result, a new $(2+1)$-dimensional HD equation is presented.
English version:
Theoretical and Mathematical Physics, 2000, Volume 122, Issue 2, Pages 256–259
DOI: https://doi.org/10.1007/BF02551202
Bibliographic databases:
Language: Russian
Citation: Yu. Song-Ju, K. Toda, T. Fukuyama, “A quest for the integrable equation in $3+1$ dimensions”, TMF, 122:2 (2000), 305–309; Theoret. and Math. Phys., 122:2 (2000), 256–259
Citation in format AMSBIB
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\by Yu.~Song-Ju, K.~Toda, T.~Fukuyama
\paper A quest for the integrable equation in $3+1$ dimensions
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\yr 2000
\vol 122
\issue 2
\pages 305--309
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\crossref{https://doi.org/10.4213/tmf1933}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1776525}
\zmath{https://zbmath.org/?q=an:0981.37025}
\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 122
\issue 2
\pages 256--259
\crossref{https://doi.org/10.1007/BF02551202}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000086555000013}
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  • https://www.mathnet.ru/eng/tmf1933
  • https://doi.org/10.4213/tmf1933
  • https://www.mathnet.ru/eng/tmf/v122/i2/p305
    • 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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    Abstract page:363
    Full-text PDF :180
    References:53
    First page:1
     
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