{
  "annotation_id": "8b99ad18-f4db-4bd7-8996-054ae009bb69",
  "date_created": "2026-03-02T18:02:51.154000Z",
  "date_modified": "2026-03-02T18:02:51.154000Z",
  "file_hash": "b74c3c51bde3fd34c45c98f431bc1f450eb874c85e381cffbb453e2cc4acc4e3",
  "private": false,
  "record": {
    "abstract": "The Davey-Stewartson (DS) equations with a perturbation term are presented by\ntaking a fluid system as an example on an uneven bottom. Stability of dromions,\nsolutions of the DS equations with localized structures, against the\nperturbation is investigated numerically. Dromions decay exponentially under an\neffect of the perturbation, while they travel stably after the effect\ndisappears. The decay ratio of dromions is found to have relation to velocities\nof dromions. The important role played by the mean flow, which acts as an\nexternal force to the system, is discussed. These results show that dromions\nare quite stable as a localized structure in two dimensions, and they are\nexpected to observed in various physical systems such as fluid or plasma\nsystems.",
    "arxiv_id": "solv-int/9508004",
    "authors": [
      "Tetsu Yajima",
      "Katsuhiro Nishinari"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Numerical Studies of Localized Structures on an Uneven Bottom in Two   Dimensions",
    "url": "https://arxiv.org/abs/solv-int/9508004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "00f91097-880c-4130-a407-61b1e9793215",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}