{
  "annotation_id": "e8246bb8-d533-4891-a05e-fe1664873c9d",
  "date_created": "2026-03-02T18:02:50.896000Z",
  "date_modified": "2026-03-02T18:02:50.896000Z",
  "file_hash": "b6e3d7e925469415524a48dfbd6c84790aa765be9aaef1b5a564e3a92685c410",
  "private": false,
  "record": {
    "abstract": "Rational solutions for the Painlev\\\u0027e IV equation are investigated by Hirota\nbilinear formalism. It is shown that the solutions in one hierarchy are\nexpressed by 3-reduced Schur functions, and those in another two hierarchies by\nCasorati determinant of the Hermite polynomials, or by special case of the\nSchur polynomials.",
    "arxiv_id": "solv-int/9709011",
    "authors": [
      "Kenji Kajiwara",
      "Yasuhiro Ohta"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/31/10/017",
    "title": "Determinant Structure of the Rational Solutions for the Painlev\\\u0027e IV   Equation",
    "url": "https://arxiv.org/abs/solv-int/9709011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "63fabb81-df9b-4bae-b8ac-fe3b846cc7c5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}