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Publication details
Compatible Poisson Structures of Toda Type Discrete Hierarchy
Authors | |
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Year of publication | 2004 |
Type | Article in Periodical |
Magazine / Source | INTERNATIONAL JOURNAL OF MODERN PHYSICS A |
MU Faculty or unit | |
Citation | |
Web | http://arxiv.org/abs/nlin/0402014 |
Doi | http://dx.doi.org/10.1142/S0217751X05021087 |
Field | Theoretical physics |
Keywords | Integrable Systems; Classical R-Matrix; Discrete Toda Lattice; Compatible Poisson Brackets |
Description | 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. |