{
  "annotation_id": "fe7c3e87-2654-4dd5-8ad7-6c6e2da1b11b",
  "date_created": "2026-03-02T18:00:50.268000Z",
  "date_modified": "2026-03-02T18:00:50.268000Z",
  "file_hash": "6c7e6bca6f59e6776059f9f562d1fc577346916d42391690ea191ef672394663",
  "private": false,
  "record": {
    "abstract": "Two-dimensional free-surface potential flows of an ideal fluid over a\nstrongly inhomogeneous bottom are investigated with the help of conformal\nmappings. Weakly-nonlinear and exact nonlinear equations of motion are derived\nby the variational method for arbitrary seabed shape parameterized by an\nanalytical function. As applications of this theory, band structure of linear\nwaves over periodic bottoms is calculated and evolution of a strong solitary\nwave running from a deep region to a shallow region is numerically simulated.",
    "arxiv_id": "physics/0406034",
    "authors": [
      "V. P. Ruban"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevE.70.066302",
    "title": "Water waves over a strongly undulating bottom",
    "url": "https://arxiv.org/abs/physics/0406034"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c1c04cff-5b6e-425d-826c-cda1c338bb8c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}