ARATYN, Henrik and Klaus BERING LARSEN. Compatible Poisson Structures of Toda Type Discrete Hierarchy. INTERNATIONAL JOURNAL OF MODERN PHYSICS A. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD, 2004, vol. 2005, No 20, p. 1367-1388. ISSN 0217-751X. Available from: https://dx.doi.org/10.1142/S0217751X05021087.
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Basic information
Original name Compatible Poisson Structures of Toda Type Discrete Hierarchy
Authors ARATYN, Henrik (840 United States of America) and Klaus BERING LARSEN (208 Denmark, guarantor, belonging to the institution).
Edition INTERNATIONAL JOURNAL OF MODERN PHYSICS A, SINGAPORE, WORLD SCIENTIFIC PUBL CO PTE LTD, 2004, 0217-751X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10303 Particles and field physics
Country of publisher Singapore
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 1.054
RIV identification code RIV/00216224:14310/04:00039886
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1142/S0217751X05021087
UT WoS 000228563200002
Keywords in English Integrable Systems; Classical R-Matrix; Discrete Toda Lattice; Compatible Poisson Brackets
Tags International impact, Reviewed
Changed by Changed by: doc. Klaus Bering Larsen, Ph.D., učo 203385. Changed: 17/3/2019 17:12.
Abstract
An algebra isomorphism between algebras of matrices and difference operators is used to investigate the discrete integrable hierarchy. We find local and non-local families of R-matrix solutions to the modified Yang-Baxter equation. The three R-theoretic Poisson structures and the Suris quadratic bracket are derived. The resulting family of bi-Poisson structures include a seminal discrete bi-Poisson structure of Kupershmidt at a special value.
Abstract (in Czech)
An algebra isomorphism between algebras of matrices and difference operators is used to investigate the discrete integrable hierarchy. We find local and non-local families of R-matrix solutions to the modified Yang-Baxter equation. The three R-theoretic Poisson structures and the Suris quadratic bracket are derived. The resulting family of bi-Poisson structures include a seminal discrete bi-Poisson structure of Kupershmidt at a special value.
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