{
  "annotation_id": "b0609156-9ac4-4047-86d9-33e7c0e5ca1c",
  "date_created": "2026-03-02T18:01:04.282000Z",
  "date_modified": "2026-03-02T18:01:04.282000Z",
  "file_hash": "f5a70d28f6d35b38ddbe0b1c1b3495f36f7092447eb0eec612c1634378e40bd0",
  "private": false,
  "record": {
    "abstract": "Linear and non-linear surface waves on a ferrofluid cylinder surrounding a\ncurrent-carrying wire are investigated. Suppressing the Rayleigh-Plateau\ninstability of the fluid column by the magnetic field of a sufficiently large\ncurrent in the wire axis-symmetric surface deformations are shown to propagate\nwithout dispersion in the long wavelength limit. Using multiple scale\nperturbation theory the weakly non-linear regime may be described by a\nKorteweg-de Vries equation with coefficients depending on the magnetic field\nstrength. For different values for the current in the wire hence different\nsolutions such as hump or hole solitons may be generated. The possibility to\nobserve these structures in experiments is also elucidated.",
    "arxiv_id": "physics/0512185",
    "authors": [
      "D. Rannacher",
      "A. Engel"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1088/1367-2630/8/6/108",
    "title": "Cylindrical Korteweg-de Vries solitons on a ferrofluid surface",
    "url": "https://arxiv.org/abs/physics/0512185"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "595eec8b-e156-4c36-b2cf-b174443dbcc8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}