{
  "annotation_id": "5abab04e-1278-4d8c-ba12-a1e6708d21ba",
  "date_created": "2026-03-02T18:02:51.580000Z",
  "date_modified": "2026-03-02T18:02:51.580000Z",
  "file_hash": "f5f446bc5707b221e7e1ece40b5a1c14b256067d8cd883ec79784e64a9962548",
  "private": false,
  "record": {
    "abstract": "We discuss from a bi-Hamiltonian point of view the Hamilton-Jacobi\nseparability of a few dynamical systems. They are shown to admit, in their\nnatural phase space, a quasi-bi-Hamiltonian formulation of Pfaffian type. This\nproperty allows us to straightforwardly recover a set of separation variables\nfor the corresponding Hamilton-Jacobi equation.",
    "arxiv_id": "solv-int/9811008",
    "authors": [
      "G. Tondo",
      "C. Morosi"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/S0034-4877(99)80167-0",
    "title": "Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation   variables",
    "url": "https://arxiv.org/abs/solv-int/9811008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "73ca0d25-a34a-4257-8826-e95f41fb7d05",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}