{
  "annotation_id": "1f381446-4431-410b-8273-e08ea7d0e4d1",
  "date_created": "2026-03-02T18:02:50.624000Z",
  "date_modified": "2026-03-02T18:02:50.624000Z",
  "file_hash": "018946abeb435265aa4f294568ae8c09511e7fd2a78490fcbbe69db5f575bf50",
  "private": false,
  "record": {
    "abstract": "By starting from known graded Lie algebras, including Virasoro algebras, new\nkinds of time-dependent evolution equations are found possessing graded\nsymmetry algebras. The modified KP equations are taken as an illustrative\nexample: new modified KP equations with $m$ arbitrary time-dependent\ncoefficients are obtained possessing symmetries involving $m$ arbitrary\nfunctions of time. A particular graded symmetry algebra for the modified KP\nequations is derived in this connection homomorphic to the Virasoro algebras.",
    "arxiv_id": "solv-int/9705015",
    "authors": [
      "W. X. Ma",
      "R. K. Bullough",
      "P. J. Caudrey"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.2991/jnmp.1997.4.3-4.6",
    "title": "Graded Symmetry Algebras of Time-Dependent Evolution Equations and   Application to the Modified KP equations",
    "url": "https://arxiv.org/abs/solv-int/9705015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "67bca52f-30c9-4ce7-a914-7c9d0e6f73f0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}