Publication details
Compatible Poisson Structures of Toda Type Discrete Hierarchy
| Authors | |
|---|---|
| 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 | https://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. |