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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 080, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.080
(Mi sigma206)
 

This article is cited in 11 scientific papers (total in 11 papers)

Bäcklund Transformation for the BC-Type Toda Lattice

Vadim Kuznetsova, Evgeny Sklyaninb

a Deceased
b Department of Mathematics, University of York, York YO10 5DD, UK
References:
Abstract: We study an integrable case of $n$-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformationand prove its basic properties: canonicity, commutativity and spectrality. The Bäcklund transformation can be also viewed as a discretized time dynamics. Two Lax matrices are used: of order 2 and of order $2n+2$, which are mutually dual, sharing the same spectral curve.
Keywords: Bäcklund transformation; Toda lattice; integrability; boundary conditions; classical Lie algebras.
Received: July 13, 2007; Published online July 25, 2007
Bibliographic databases:
Document Type: Article
MSC: 70H06
Language: English
Citation: Vadim Kuznetsov, Evgeny Sklyanin, “Bäcklund Transformation for the BC-Type Toda Lattice”, SIGMA, 3 (2007), 080, 17 pp.
Citation in format AMSBIB
\Bibitem{KuzSkl07}
\by Vadim Kuznetsov, Evgeny Sklyanin
\paper B\"acklund Transformation for the BC-Type Toda Lattice
\jour SIGMA
\yr 2007
\vol 3
\papernumber 080
\totalpages 17
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\crossref{https://doi.org/10.3842/SIGMA.2007.080}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2366942}
\zmath{https://zbmath.org/?q=an:1157.70012}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207065200080}
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  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
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