{
  "annotation_id": "50edf67f-98ed-4e13-bf56-4b6e860670fe",
  "date_created": "2026-03-02T18:02:51.443000Z",
  "date_modified": "2026-03-02T18:02:51.443000Z",
  "file_hash": "12cb2943bf11f891ae55b37c0596915f9478d0e08956daec4ecd9a6b9d6834a3",
  "private": false,
  "record": {
    "abstract": "A system of equations of the reaction-diffusion type is studied in the\nframework of both the direct and the inverse prolongation structure. We find\nthat this system allows an incomplete prolongation Lie algebra, which is used\nto find the spectral problem and a whole class of nonlinear field equations\ncontaining the original ones as a special case.",
    "arxiv_id": "solv-int/9710007",
    "authors": [
      "E. Alfinito",
      "V. Grassi",
      "R. A. Leo",
      "G. Profilo",
      "G. Soliani"
    ],
    "categories": [
      "solv-int",
      "cond-mat",
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "doi": "10.1088/0266-5611/14/6/003",
    "journal_ref": "Inv. Prob. 14, 1387-1401 (1998)",
    "title": "Equations of the reaction-diffusion type with a loop algebra structure",
    "url": "https://arxiv.org/abs/solv-int/9710007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e7bb3f94-21fa-49ba-a55e-2bc5dd630a1b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}