{
  "annotation_id": "5a292b13-46c5-4b35-a05c-542f06009b86",
  "date_created": "2026-03-02T18:02:51.407000Z",
  "date_modified": "2026-03-02T18:02:51.407000Z",
  "file_hash": "2fa0ecd89850a78d895e4576e8d66becb1e719fba9c3a3f7a373b1745f27eaf2",
  "private": false,
  "record": {
    "abstract": "We argue the integrability of the generalized KdV(GKdV) equation using the\nPainlev\\\u0027e test. For $d( \\le 2)$ dimensional space, GKdV equation passes the\nPainlev\\\u0027e test but does not for $d \\geq 3$ dimensional space. We also apply\nthe Ablowitz-Ramani-Segur\u0027s conjecture to the GKdV equation in order to\ncomplement the Painlev\\\u0027e test.",
    "arxiv_id": "solv-int/9605003",
    "authors": [
      "Yu. Song-Ju",
      "T. Fukuyama"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "The Painlev\\\u0027e Test of Higher Dimensional KdV Equation",
    "url": "https://arxiv.org/abs/solv-int/9605003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b9bc1633-149a-4f1f-ab94-0a30d8fd5642",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}