{
  "annotation_id": "81187d9c-bd9d-4922-bdfe-d1c9510ea0eb",
  "date_created": "2026-03-02T18:00:28.673000Z",
  "date_modified": "2026-03-02T18:00:28.673000Z",
  "file_hash": "aa8723de4d0f9a1026bd1f1c3241383319b1f32d2f9ac71abedb177669a1278e",
  "private": false,
  "record": {
    "abstract": "The Lie-group approach to the perturbative renormalization group (RG) method\nis developed to obtain an asymptotic solutions of both autonomous and\nnon-autonomous ordinary differential equations. Reduction of some partial\ndifferetial equations to typical RG equations is also achieved by this approach\nand a simple recipe for providing RG equations is presented.",
    "arxiv_id": "patt-sol/9905001",
    "authors": [
      "Shin-itiro Goto",
      "Yuji Masutomi",
      "Kazuhiro Nozaki"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1143/PTP.102.471",
    "title": "Lie-Group Approach to Perturbative Renormalization-Group Method",
    "url": "https://arxiv.org/abs/patt-sol/9905001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6a3e1ed1-26f4-48af-bcd6-4d7c00f3c52f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}