Bäcklund Transformation for the BC-Type Toda Lattice

dc.creatorKuznetsov, Vadim
dc.creatorSklyanin, Evgeny
dc.date2007-07-13
dc.date2007-07-26
dc.date.accessioned2026-07-07T09:34:08Z
dc.date.available2026-07-07T09:34:08Z
dc.descriptionWe 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.
dc.descriptionThis is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0707.1950
dc.identifierhttp://arxiv.org/abs/0707.1950
dc.identifierSIGMA 3 (2007), 080, 17 pages
dc.identifierdoi:10.3842/SIGMA.2007.080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159380
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleBäcklund Transformation for the BC-Type Toda Lattice
dc.typetext

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