Bäcklund Transformation for the BC-Type Toda Lattice

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dc.contributor.authorKuznetsov, V.
dc.contributor.authorSklyanin, E.
dc.date.accessioned2019-02-14T14:49:25Z
dc.date.available2019-02-14T14:49:25Z
dc.date.issued2007
dc.description.abstractWe 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Vadim Kuznetsov Memorial Issue ‘Integrable Systems and Related Topics’. This work has been partially supported by the European Community (or European Union) through the FP6 Marie Curie RTN ENIGMA (Contract number MRTN-CT-2004-5652).uk_UA
dc.identifier.citationBäcklund 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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 70H06
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147374
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleBäcklund Transformation for the BC-Type Toda Latticeuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік