{
  "annotation_id": "d97a9356-8872-49b7-8459-4dab721d910d",
  "date_created": "2026-03-02T18:02:51.440000Z",
  "date_modified": "2026-03-02T18:02:51.440000Z",
  "file_hash": "d3efe2209bc1007ce34ca88dec4f48fbb405defb453b89c0263a979a6b5c0e45",
  "private": false,
  "record": {
    "abstract": "The $6 = 3\\times 2$ huge Lie algebra $\\Xi$ of all local and non local\ndifferential operators on a circle is applied to the standard\nAdler-Kostant-Symes (AKS) R-bracket sckeme. It is shown in particular that\nthere exist three additional Lie structures, associated to three graded\nmodified classical Yang-Baxter(GMCYB) equations. As we know from the standard\ncase, these structures can be used to classify in a more consitent way a wide\nclass of integrable systems. Other algebraic properties are also presented.",
    "arxiv_id": "solv-int/9708003",
    "authors": [
      "E. H. Saidi",
      "M. B. Sedra"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "title": "Three Graded Modified Classical Yang-Baxter Equations and Integrable   Systems",
    "url": "https://arxiv.org/abs/solv-int/9708003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3ed68cc8-0b36-42d0-8ebc-57aaba81c6be",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}