{
  "annotation_id": "e28f0648-12f1-424e-b8ca-ca496f911ce0",
  "date_created": "2026-03-02T18:02:50.773000Z",
  "date_modified": "2026-03-02T18:02:50.773000Z",
  "file_hash": "504ce306764cb0bdf4635b6c69e28a40bc6055465ba3c44874d68027747a6d1b",
  "private": false,
  "record": {
    "abstract": "We construct a recursion operator for the system $(u_t,v_t)=(u_4+v^2,1/5\nv_4)$, for which only one local symmetry is known and we show that the action\nof the recursion operator on $(u_t,v_t)$ is a local function.",
    "arxiv_id": "solv-int/9905012",
    "authors": [
      "Ayse Humeyra Bilge"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "journal_ref": "Lie Groups and Their Applications, Vol.1, No 2, pp.132-139, (1994)",
    "title": "A System with a Recursion Operator but One Higher Local Symmetry of the   Form $u_t=u_{xxx}+f(t,x,u,u_x,u_{xx})$",
    "url": "https://arxiv.org/abs/solv-int/9905012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2a71d0f3-aed6-4b5e-b086-8c24798fb49e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}