Informace o publikaci
Compatible Poisson Structures of Toda Type Discrete Hierarchy
| Autoři | |
|---|---|
| Rok publikování | 2004 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | INTERNATIONAL JOURNAL OF MODERN PHYSICS A |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://arxiv.org/abs/nlin/0402014 |
| Doi | http://dx.doi.org/10.1142/S0217751X05021087 |
| Obor | Teoretická fyzika |
| Klíčová slova | Integrable Systems; Classical R-Matrix; Discrete Toda Lattice; Compatible Poisson Brackets |
| Popis | 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. |