ARATYN, Henrik a 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, roč. 2005, č. 20, s. 1367-1388. ISSN 0217-751X. Dostupné z: https://dx.doi.org/10.1142/S0217751X05021087. |
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@article{878770, author = {Aratyn, Henrik and Bering Larsen, Klaus}, article_location = {SINGAPORE}, article_number = {20}, doi = {http://dx.doi.org/10.1142/S0217751X05021087}, keywords = {Integrable Systems; Classical R-Matrix; Discrete Toda Lattice; Compatible Poisson Brackets}, language = {eng}, issn = {0217-751X}, journal = {INTERNATIONAL JOURNAL OF MODERN PHYSICS A}, title = {Compatible Poisson Structures of Toda Type Discrete Hierarchy}, url = {http://arxiv.org/abs/nlin/0402014}, volume = {2005}, year = {2004} }
TY - JOUR ID - 878770 AU - Aratyn, Henrik - Bering Larsen, Klaus PY - 2004 TI - Compatible Poisson Structures of Toda Type Discrete Hierarchy JF - INTERNATIONAL JOURNAL OF MODERN PHYSICS A VL - 2005 IS - 20 SP - 1367-1388 EP - 1367-1388 PB - WORLD SCIENTIFIC PUBL CO PTE LTD SN - 0217751X KW - Integrable Systems KW - Classical R-Matrix KW - Discrete Toda Lattice KW - Compatible Poisson Brackets UR - http://arxiv.org/abs/nlin/0402014 N2 - 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. ER -
ARATYN, Henrik a Klaus BERING LARSEN. Compatible Poisson Structures of Toda Type Discrete Hierarchy. \textit{INTERNATIONAL JOURNAL OF MODERN PHYSICS A}. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD, 2004, roč.~2005, č.~20, s.~1367-1388. ISSN~0217-751X. Dostupné z: https://dx.doi.org/10.1142/S0217751X05021087.
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