{
  "annotation_id": "a545e149-41af-417b-b074-f4d4a70908bb",
  "date_created": "2026-03-02T18:02:50.970000Z",
  "date_modified": "2026-03-02T18:02:50.970000Z",
  "file_hash": "73fde31e342f2665c68e15395629946e40158b12f175434808b1677dc20f160c",
  "private": false,
  "record": {
    "abstract": "A classification of all possible realizations of the Galilei,\nGalilei-similitude and Schroedinger Lie algebras in three-dimensional\nspace-time in terms of vector fields under the action of the group of local\ndiffeomorphisms of the space $\\R^3\\times\\C$ is presented. Using this result a\nvariety of general second order evolution equations invariant under the\ncorresponding groups are constructed and their physical significance are\ndiscussed.",
    "arxiv_id": "solv-int/9811015",
    "authors": [
      "Faruk Gungor"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/32/6/010",
    "journal_ref": "J. Phys. A: Math. and Gen. 32 (1999) 977-988",
    "title": "Nonlinear Evolution Equations Invariant Under Schroedinger Group in   three-dimensional Space-time",
    "url": "https://arxiv.org/abs/solv-int/9811015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "601e14e2-85f6-4092-8bb1-b02cce3f3e6e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}