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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 103, Number 3, Pages 461–466 (Mi tmf1315)  
This article is cited in 4 scientific papers (total in 4 papers)

On third Poisson structure of KdV equation

A. S. Gorskya, A. V. Marshakova, A. Yu. Orlov, V. N. Rubtsova

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
Full-text PDF (542 kB) Citations (4)
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Abstract: The third Poisson structure of KdV equation in terms of canonical “free fields” and reduced WZNW model is discussed. We prove that it is “diagonalized” in the Lagrange variables which were used before in formulation of 2d gravity. We propose a quantum path integral for KdV equation based on this representation.
English version:
Theoretical and Mathematical Physics, 1995, Volume 103, Issue 3, Pages 701–705
DOI: https://doi.org/10.1007/BF02065868
Bibliographic databases:
Language: Russian
Citation: A. S. Gorsky, A. V. Marshakov, A. Yu. Orlov, V. N. Rubtsov, “On third Poisson structure of KdV equation”, TMF, 103:3 (1995), 461–466; Theoret. and Math. Phys., 103:3 (1995), 701–705
Citation in format AMSBIB
\Bibitem{GorMarOrl95}
\by A.~S.~Gorsky, A.~V.~Marshakov, A.~Yu.~Orlov, V.~N.~Rubtsov
\paper On third Poisson structure of KdV equation
\jour TMF
\yr 1995
\vol 103
\issue 3
\pages 461--466
\mathnet{http://mi.mathnet.ru/tmf1315}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1472311}
\zmath{https://zbmath.org/?q=an:0856.35115}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 103
\issue 3
\pages 701--705
\crossref{https://doi.org/10.1007/BF02065868}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TP54200008}
Linking options:
  • https://www.mathnet.ru/eng/tmf1315
  • https://www.mathnet.ru/eng/tmf/v103/i3/p461
    • This publication is cited in the following 4 articles:
    1. Andrei Mikhailov, “A nonlocal Poisson bracket of the sine-Gordon model”, Journal of Geometry and Physics, 61:1 (2011), 85  crossref
    2. R. Sahadevan, S. Khousalya, “Tri-Hamiltonian formulation for certain integrable lattice equations”, Journal of Mathematical Physics, 44:9 (2003), 3961  crossref
    3. Maxim V Pavlov, “Relationships between differential substitutions and Hamiltonian structures of the Korteweg-de Vries equation”, Physics Letters A, 243:5-6 (1998), 295  crossref
    4. Takayuki Tsuchida, Yasumasa Kajinaga, Miki Wadati, “Tri-Hamiltonian Structure and Complete Integrability of Volterra Model”, J. Phys. Soc. Jpn., 66:9 (1997), 2608  crossref
    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:418
    Full-text PDF :182
    References:73
    First page:1
     
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