{
  "annotation_id": "6f581db7-a46d-4d7d-8eef-12d647810ed1",
  "date_created": "2026-03-02T18:01:27.664000Z",
  "date_modified": "2026-03-02T18:01:27.664000Z",
  "file_hash": "117e8c1a5c14d5d05ed937a2e1c4d879dfce6bc9719758d6bc5616209aa3f7e1",
  "private": false,
  "record": {
    "abstract": "We generalize the non-linear one-dimensional equation of a fluid layer for\nany depth and length as an infinite order differential equation for the steady\nwaves. This equation can be written as a q-differential one, with its general\nsolution written as a power series expansion with coefficients satisfying a\nnonlinear recurrence relation. In the limit of long and shallow water (shallow\nchannels) we reobtain the well known Korteweg-de-Vries equation together with\nits single-soliton solution.",
    "arxiv_id": "q-alg/9612006",
    "authors": [
      "A. Ludu",
      "R. A. Ionescu",
      "W. Greiner"
    ],
    "categories": [
      "q-alg",
      "math.QA",
      "nlin.PS",
      "patt-sol"
    ],
    "doi": "10.1007/BF02058238",
    "journal_ref": "Found. Phys. 26 (1996) 665-678",
    "title": "Generalized KdV Equation for Fluid Dynamics and Quantum Algebras",
    "url": "https://arxiv.org/abs/q-alg/9612006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4f1f267a-3e18-4cf2-93e1-0d0171f6cec2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}