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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 2, Pages 172–176 (Mi tmf1575)  

This article is cited in 6 scientific papers (total in 6 papers)

Space curve evolution, geometric phase and solitons

Radha Balakrishnan

Institute of Mathematical Sciences
Full-text PDF (517 kB) Citations (6)
References:
Abstract: Certain moving space curves are endowed with a geometric phase. This phase arises due to the path dependence of the rotation of an orthonormal triad (frame) defined at every point on the curve. In the present work we use the connection between moving curves and soliton dynamics to find the geometric phase associated with a class of soliton-supporting equations.
English version:
Theoretical and Mathematical Physics, 1994, Volume 99, Issue 2, Pages 501–504
DOI: https://doi.org/10.1007/BF01016130
Bibliographic databases:
Language: English
Citation: Radha Balakrishnan, “Space curve evolution, geometric phase and solitons”, TMF, 99:2 (1994), 172–176; Theoret. and Math. Phys., 99:2 (1994), 501–504
Citation in format AMSBIB
\Bibitem{Bal94}
\by Radha Balakrishnan
\paper Space curve evolution, geometric phase and solitons
\jour TMF
\yr 1994
\vol 99
\issue 2
\pages 172--176
\mathnet{http://mi.mathnet.ru/tmf1575}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1308777}
\zmath{https://zbmath.org/?q=an:0856.35111}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 2
\pages 501--504
\crossref{https://doi.org/10.1007/BF01016130}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PV07100002}
Linking options:
  • https://www.mathnet.ru/eng/tmf1575
  • https://www.mathnet.ru/eng/tmf/v99/i2/p172
  • This publication is cited in the following 6 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
    Statistics & downloads:
    Abstract page:351
    Full-text PDF :128
    References:44
    First page:1
     
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