{
  "annotation_id": "38660b15-faa0-4847-99bd-a1b057217eea",
  "date_created": "2026-03-02T18:02:51.281000Z",
  "date_modified": "2026-03-02T18:02:51.281000Z",
  "file_hash": "49b6f5872b2bf5f94f3b6cbba7dca3d4aad0d0aed3faa7d7a400756ac9fecb90",
  "private": false,
  "record": {
    "abstract": "It is shown how to construct an infinite number of families of\nquasi-bi-Hamiltonian (QBH) systems by means of the constrained flows of soliton\nequations. Three explicit QBH structures are presented for the first three\nfamilies of the constrained flows. The Nijenhuis coordinates defined by the\nNijenhuis tensor for the corresponding families of QBH systems are proved to be\nexactly the same as the separated variables introduced by means of the Lax\nmatrices for the constrained flows.",
    "arxiv_id": "solv-int/9906005",
    "authors": [
      "Yunbo Zeng",
      "Wen-Xiu Ma"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1063/1.532979",
    "title": "Families of quai-bi-Hamiltonian systems and separability",
    "url": "https://arxiv.org/abs/solv-int/9906005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "670ac4be-d3df-4527-87c2-c191eb768d25",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}