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Bäcklund Transformation for the BC-Type Toda Lattice

Vernadsky National Library of Ukraine

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Title Bäcklund Transformation for the BC-Type Toda Lattice
 
Creator Kuznetsov, V.
Sklyanin, E.
 
Description 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 transformation and 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.
 
Date 2019-02-14T14:49:25Z
2019-02-14T14:49:25Z
2007
 
Type Article
 
Identifier Bäcklund Transformation for the BC-Type Toda Lattice / V. Kuznetsov, E. Sklyanin // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 70H06
http://dspace.nbuv.gov.ua/handle/123456789/147374
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України