{
  "annotation_id": "4101fd5b-bbbb-42a5-9b3d-9736466caa66",
  "date_created": "2026-03-02T18:02:51.348000Z",
  "date_modified": "2026-03-02T18:02:51.348000Z",
  "file_hash": "3447cf27c953b9c06cbdda3faddcc8d1e2a4a63e881d08bc05241cae9de637ca",
  "private": false,
  "record": {
    "abstract": "We show in this letter that the perturbed Burgers equation $u_t = 2uu_x +\nu_{xx} + \\epsilon ( 3 \\alpha_1 u^2 u_x + 3\\alpha_2 uu_{xx} + 3\\alpha_3 u_x^2 +\n\\alpha_4 u_{xxx} )$ is equivalent, through a near-identity transformation and\nup to order \\epsilon, to a linearizable equation if the condition $3\\alpha_1 -\n3\\alpha_3 - 3/2 \\alpha_2 + 3/2 \\alpha_4 = 0$ is satisfied. In the case this\ncondition is not fulfilled, a normal form for the equation under consideration\nis given. Then, to illustrate our results, we make a linearizability analysis\nof the equations governing the dynamics of a one-dimensional gas.",
    "arxiv_id": "solv-int/9703009",
    "authors": [
      "R. A. Kraenkel",
      "J. G. Pereira",
      "E. C. de Rey Neto"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1103/PhysRevE.58.2526",
    "title": "Linearizability of the Perturbed Burgers Equation",
    "url": "https://arxiv.org/abs/solv-int/9703009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea968911-6c83-4d3b-97ba-1457eb120d03",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}