{
  "annotation_id": "081c7759-4cde-48f8-ae9f-44da5115f078",
  "date_created": "2026-03-02T18:02:50.759000Z",
  "date_modified": "2026-03-02T18:02:50.759000Z",
  "file_hash": "289f6f22cf8c10252dce5d2725ef8d5ac0faf943c66fd99a15fcb28a25728a8e",
  "private": false,
  "record": {
    "abstract": "We present Backlund transformations (BTs) with parameter for certain\nclassical integrable n-body systems, namely the many-body generalised\nHenon-Heiles, Garnier and Neumann systems. Our construction makes use of the\nfact that all these systems may be obtained as particular reductions\n(stationary or restricted flows) of the KdV hierarchy; alternatively they may\nbe considered as examples of the reduced sl(2) Gaudin magnet. The BTs provide\nexact time-discretizations of the original (continuous) systems, preserving the\nLax matrix and hence all integrals of motion, and satisfy the spectrality\nproperty with respect to the Backlund parameter.",
    "arxiv_id": "solv-int/9904003",
    "authors": [
      "A. N. W. Hone",
      "V. B. Kuznetsov",
      "O. Ragnisco"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/32/27/102",
    "journal_ref": "J.Phys. A32 (1999) L299-L306",
    "title": "Backlund transformations for many-body systems related to KdV",
    "url": "https://arxiv.org/abs/solv-int/9904003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0b80dfa8-8d2e-4403-8858-2f1201c8a6e1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}