dorsal/arxiv
View SchemaA discrete time peakons lattice
| Authors | Yuri B. Suris |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9512001 |
| URL | https://arxiv.org/abs/solv-int/9512001 |
| DOI | 10.1016/0375-9601(96)00375-1 |
| Journal | Phys. Lett. A217, 1996, p. 321-329. |
Abstract
A discretization of the peakons lattice is introduced, belonging to the same hierarchy as the continuous--time system. The construction examplifies 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. A variational (Lagrangian) formulation is also given.
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"abstract": "A discretization of the peakons lattice is introduced, belonging to the same\nhierarchy as the continuous--time system. The construction examplifies the\ngeneral scheme for integrable discretization of systems on Lie algebras with\n$r$--matrix Poisson brackets. An initial value problem for the difference\nequations is solved in terms of a factorization problem in a group.\nInterpolating Hamiltonian flow is found. A variational (Lagrangian) formulation\nis also given.",
"arxiv_id": "solv-int/9512001",
"authors": [
"Yuri B. Suris"
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"doi": "10.1016/0375-9601(96)00375-1",
"journal_ref": "Phys. Lett. A217, 1996, p. 321-329.",
"title": "A discrete time peakons lattice",
"url": "https://arxiv.org/abs/solv-int/9512001"
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