{
  "annotation_id": "40824a90-7542-4e9d-9b33-2f01a2e81c7f",
  "date_created": "2026-03-02T18:02:51.278000Z",
  "date_modified": "2026-03-02T18:02:51.278000Z",
  "file_hash": "f14b15e08ba1cbc8324cbbadb4d9a4ddaf3a58c0fd7341e0e376ffef657b0083",
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  "record": {
    "abstract": "It is shown that the system of two coupled Korteweg-de Vries equations passes\nthe Painlev\\\u0027e test for integrability in nine distinct cases of its\ncoefficients. The integrability of eight cases is verified by direct\nconstruction of Lax pairs, whereas for one case it remains unknown.",
    "arxiv_id": "solv-int/9901005",
    "authors": [
      "Sergei Yu. Sakovich"
    ],
    "categories": [
      "solv-int",
      "math-ph",
      "math.AP",
      "math.MP",
      "nlin.SI"
    ],
    "doi": "10.2991/jnmp.1999.6.3.2",
    "journal_ref": "J. Nonlinear Math. Phys. 6 (1999) 255-262",
    "title": "Coupled KdV equations of Hirota-Satsuma type",
    "url": "https://arxiv.org/abs/solv-int/9901005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dc3b0795-2d20-4747-aa4a-3182b21adfac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}