{
  "annotation_id": "3d6a34e8-a4f0-4410-85fa-65a215e08279",
  "date_created": "2026-03-02T18:01:21.611000Z",
  "date_modified": "2026-03-02T18:01:21.611000Z",
  "file_hash": "714b4b0466146f04b0b5e3dcdf5dd4bbd1e4d5ec59bc7472be1c6099f55dce46",
  "private": false,
  "record": {
    "abstract": "We generalize the method of obtaining the fundamental linear partial\ndifferential equations such as the diffusion and Schrodinger equation, Dirac\nand telegrapher\u0027s equation from a simple stochastic consideration to arrive at\ncertain nonlinear form of these equations. The group classification through one\nparameter group of transformation for two of these equations is also carried\nout.",
    "arxiv_id": "physics/9710040",
    "authors": [
      "Karmadeva Maharana"
    ],
    "categories": [
      "math-ph",
      "hep-th",
      "math.MP"
    ],
    "doi": "10.1103/PhysRevE.62.1683",
    "journal_ref": "Phys.Rev.E62:1683,2000",
    "title": "Nonlinear Dirac and diffusion equations in 1 + 1 dimensions from   stochastic considerations",
    "url": "https://arxiv.org/abs/physics/9710040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "73008d2b-9e6d-4685-9b8c-7984495145bf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}