Bäcklund Transformation for the BC-Type Toda Lattice

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік
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dc.contributor.author	Kuznetsov, V.
dc.contributor.author	Sklyanin, E.
dc.date.accessioned	2019-02-14T14:49:25Z
dc.date.available	2019-02-14T14:49:25Z
dc.date.issued	2007
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 70H06
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147374
dc.description.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 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.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Bäcklund Transformation for the BC-Type Toda Lattice	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA