{
  "annotation_id": "90691d5f-5edc-42bd-8ec2-04b83bdf2d1d",
  "date_created": "2026-03-02T18:02:50.969000Z",
  "date_modified": "2026-03-02T18:02:50.969000Z",
  "file_hash": "2a30293f9214a9fc11dfdf5ad4bbce69bf523071a84014bdfa2c9ec659989288",
  "private": false,
  "record": {
    "abstract": "By linearizing the inhomogeneous Burgers equation through the Hopf-Cole\ntransformation, we formulate the solution of the initial value problem of the\ncorresponding linear heat type equation using the Feynman-Kac path integral\nformalism. For illustration, we present the exact solution for the forcing term\nof the form: $F(x,t)=\\omega ^2x+f(t).$ We also present the initial value\nproblem solution for the case with a constant forcing term to compare with the\nknown result.",
    "arxiv_id": "solv-int/9812014",
    "authors": [
      "Hans J. Wospakrik",
      "Freddy P. Zen"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "title": "Inhomogeneous Burgers Equation and the Feynman-Kac Path Integral",
    "url": "https://arxiv.org/abs/solv-int/9812014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "47b853b9-6257-4e46-951b-e3664df0baaa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}