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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
Full-text PDF (295 kB) Citations (11)
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DOI: https://doi.org/10.3842/SIGMA.2007.080
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
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\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}
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    • This publication is cited in the following 11 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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