{
  "annotation_id": "e982c617-9160-498f-9aea-e1a8e3e051e5",
  "date_created": "2026-03-02T18:02:50.755000Z",
  "date_modified": "2026-03-02T18:02:50.755000Z",
  "file_hash": "f80d13cac1fae70d3a639115b4272108cde021c33fc8a33cc22095dd9ba60cc2",
  "private": false,
  "record": {
    "abstract": "For the Hamiltonian integrable systems governed by SL(2)-invariant r-matrix\n(such as Heisenberg magnet, Toda lattice, nonlinear Schroedinger equation) a\ngeneral procedure for constructing Baecklund transformation is proposed. The\ncorresponding BT is shown to preserve the Poisson bracket. The proof is given\nby a direct calculation using the r-matrix expression for the Poisson bracket.",
    "arxiv_id": "solv-int/9903016",
    "authors": [
      "E. K. Sklyanin"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "journal_ref": "Translations of the American Mathematical Society-Series 2, 201\n  (2000) 277-282",
    "title": "Canonicity of Baecklund transformation: r-matrix approach. I",
    "url": "https://arxiv.org/abs/solv-int/9903016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9683ffc4-4742-463b-8308-fee0719ade6b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}