dorsal/arxiv
View SchemaDiscrete time Bogoyavlensky lattices
| Authors | Yu. B. Suris |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9512007 |
| URL | https://arxiv.org/abs/solv-int/9512007 |
| DOI | 10.1063/1.531611 |
| Journal | J. Math. Phys., 1996, V. 37, p. 3982-3996. |
Abstract
Discretizations of the Bogoyavlensky lattices are introduced, belonging to the same hierarchies as the continuous--time systems. The construction exemplifies the general scheme for integrable discretization of systems on Lie algebras with $r$--matrix Poisson brackets. An initial value problem for the difference equations is solved in terms of a factorization problem in a group. Interpolating Hamiltonian flow is found.
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"abstract": "Discretizations of the Bogoyavlensky lattices are introduced, belonging to\nthe same hierarchies as the continuous--time systems. The construction\nexemplifies the general scheme for integrable discretization of systems on Lie\nalgebras with $r$--matrix Poisson brackets. An initial value problem for the\ndifference equations is solved in terms of a factorization problem in a group.\nInterpolating Hamiltonian flow is found.",
"arxiv_id": "solv-int/9512007",
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"Yu. B. Suris"
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"doi": "10.1063/1.531611",
"journal_ref": "J. Math. Phys., 1996, V. 37, p. 3982-3996.",
"title": "Discrete time Bogoyavlensky lattices",
"url": "https://arxiv.org/abs/solv-int/9512007"
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