dorsal/arxiv
View SchemaA discrete time relativistic Toda lattice
| Authors | Yuri B. Suris |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9510007 |
| URL | https://arxiv.org/abs/solv-int/9510007 |
| DOI | 10.1088/0305-4470/29/2/022 |
| Journal | J. Phys. A: Math. and Gen., 1996, V. 29, p. 451-465. |
Abstract
Four integrable symplectic maps approximating two Hamiltonian flows from the relativistic Toda hierarchy are introduced. They are demostrated to belong to the same hierarchy and to examplify the general scheme for symplectic maps on groups equiped with quadratic Poisson brackets. The initial value problem for the difference equations is solved in terms of a factorization problem in a group. Interpolating Hamiltonian flows are found for all the maps.
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"abstract": "Four integrable symplectic maps approximating two Hamiltonian flows from the\nrelativistic Toda hierarchy are introduced. They are demostrated to belong to\nthe same hierarchy and to examplify the general scheme for symplectic maps on\ngroups equiped with quadratic Poisson brackets. The initial value problem for\nthe difference equations is solved in terms of a factorization problem in a\ngroup. Interpolating Hamiltonian flows are found for all the maps.",
"arxiv_id": "solv-int/9510007",
"authors": [
"Yuri B. Suris"
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"doi": "10.1088/0305-4470/29/2/022",
"journal_ref": "J. Phys. A: Math. and Gen., 1996, V. 29, p. 451-465.",
"title": "A discrete time relativistic Toda lattice",
"url": "https://arxiv.org/abs/solv-int/9510007"
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