dorsal/arxiv
View SchemaIntegrable discretizations of the spin Ruijsenaars-Schneider models
| Authors | O. Ragnisco, Yu. B. Suris |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9605001 |
| URL | https://arxiv.org/abs/solv-int/9605001 |
| DOI | 10.1063/1.532114 |
| Journal | J.Math.Phys. 38 (1997) 4680-4691 |
Abstract
Integrable discretizations are introduced for the rational and hyperbolic spin Ruijsenaars--Schneider models. These discrete dynamical systems are demonstrated to belong to the same integrable hierarchies as their continuous--time counterparts. Explicit solutions are obtained for arbitrary flows of the hierarchies, including the discrete time ones.
{
"annotation_id": "b37a3a61-a4db-46a9-bbf8-6e9f391f2449",
"date_created": "2026-03-02T18:02:50.566000Z",
"date_modified": "2026-03-02T18:02:50.566000Z",
"file_hash": "1a9642db2cf98607c421f22b61a214b203a49272d441a92921fac800dd8f4f59",
"private": false,
"record": {
"abstract": "Integrable discretizations are introduced for the rational and hyperbolic\nspin Ruijsenaars--Schneider models. These discrete dynamical systems are\ndemonstrated to belong to the same integrable hierarchies as their\ncontinuous--time counterparts. Explicit solutions are obtained for arbitrary\nflows of the hierarchies, including the discrete time ones.",
"arxiv_id": "solv-int/9605001",
"authors": [
"O. Ragnisco",
"Yu. B. Suris"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1063/1.532114",
"journal_ref": "J.Math.Phys. 38 (1997) 4680-4691",
"title": "Integrable discretizations of the spin Ruijsenaars-Schneider models",
"url": "https://arxiv.org/abs/solv-int/9605001"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9db92327-301d-44d5-a300-df55943b8bca",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}