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 TMF, 1995, Volume 105, Number 2, Pages 214–224 (Mi tmf1370)

Integrals of motion for the classical sine-Gordon lattice system

S. V. Kryukov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: Higher-order local integrals of motion for the classical sine-Gordon system are calculated. For the kth integral of motion, the general formula is obtained. It is discussed how the integrals of motion can be used for constructing classical lattice $W_{n}$-algebras. A direct consideration is given for the case of $W_{2}$.

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English version:
Theoretical and Mathematical Physics, 1995, 105:2, 1359–1368

Bibliographic databases:

Citation: S. V. Kryukov, “Integrals of motion for the classical sine-Gordon lattice system”, TMF, 105:2 (1995), 214–224; Theoret. and Math. Phys., 105:2 (1995), 1359–1368

Citation in format AMSBIB
\Bibitem{Kry95} \by S.~V.~Kryukov \paper Integrals of motion for the classical sine-Gordon lattice system \jour TMF \yr 1995 \vol 105 \issue 2 \pages 214--224 \mathnet{http://mi.mathnet.ru/tmf1370} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1601133} \zmath{https://zbmath.org/?q=an:0865.58060} \transl \jour Theoret. and Math. Phys. \yr 1995 \vol 105 \issue 2 \pages 1359--1368 \crossref{https://doi.org/10.1007/BF02070932} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1995UP84300004} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. E. V. Kopanev, S. V. Kryukov, M. A. Suhoruchkin, “Conservation currents in quantum integrable models”, Theoret. and Math. Phys., 113:1 (1997), 1235–1243
2. Hikami, K, “The quantum Volterra model and the lattice sine-Gordon system. Construction of the Baxter Q operator and the integrals of motion”, Journal of the Physical Society of Japan, 68:2 (1999), 380
3. Hikami, K, “The Baxter equation for quantum discrete Boussinesq equation”, Nuclear Physics B, 604:3 (2001), 580
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