{
  "annotation_id": "16230f24-7932-43fb-96bd-2a7ea10e109f",
  "date_created": "2026-03-02T18:02:51.223000Z",
  "date_modified": "2026-03-02T18:02:51.223000Z",
  "file_hash": "41cbf90a4298877959099ea679a889cc058c0efa706570968cf92cf23b944f2a",
  "private": false,
  "record": {
    "abstract": "A (2+1)-dimensional perturbed KdV equation, recently introduced by W.X. Ma\nand B. Fuchssteiner, is proven to pass the Painlev\\\u0027e test for integrability\nwell, and its 4$\\times $4 Lax pair with two spectral parameters is found. The\nresults show that the Painlev\\\u0027e classification of coupled KdV equations by A.\nKarasu should be revised.",
    "arxiv_id": "solv-int/9805012",
    "authors": [
      "Sergei Yu. Sakovich"
    ],
    "categories": [
      "solv-int",
      "math-ph",
      "math.AP",
      "math.MP",
      "nlin.SI"
    ],
    "doi": "10.2991/jnmp.1998.5.3.1",
    "journal_ref": "J. Nonlinear Math. Phys. 5 (1998) 230-233",
    "title": "On integrability of a (2+1)-dimensional perturbed Kdv equation",
    "url": "https://arxiv.org/abs/solv-int/9805012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7324fc5f-787d-4c65-a85e-ce20ac07a65e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}