{
  "annotation_id": "60702cc1-35ce-4d82-9027-01c975cbff90",
  "date_created": "2026-03-02T18:02:50.971000Z",
  "date_modified": "2026-03-02T18:02:50.971000Z",
  "file_hash": "eca8319cc46262340b1109574c8a0b11a58fea9c67418d3cff25f9ed41938269",
  "private": false,
  "record": {
    "abstract": "We present the explicit formulae, describing the structure of symmetries and\nformal symmetries of any scalar (1+1)-dimensional evolution equation. Using\nthese results, the formulae for the leading terms of commutators of two\nsymmetries and two formal symmetries are found. The generalization of these\nresults to the case of system of evolution equations is also discussed.",
    "arxiv_id": "solv-int/9902002",
    "authors": [
      "Artur G. Sergyeyev"
    ],
    "categories": [
      "solv-int",
      "math-ph",
      "math.AP",
      "math.MP",
      "nlin.SI"
    ],
    "journal_ref": "Symmetry and perturbation theory (Rome, 1998), 303-308, World Sci.\n  Publ., River Edge, NJ, 1999",
    "title": "On time-dependent symmetries and formal symmetries of evolution   equations",
    "url": "https://arxiv.org/abs/solv-int/9902002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0caec7ea-9a81-434f-9ea5-cd224cc64627",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}