{
  "annotation_id": "94929b64-4bee-4ee6-abeb-b04cedf6179b",
  "date_created": "2026-03-02T18:00:29.447000Z",
  "date_modified": "2026-03-02T18:00:29.447000Z",
  "file_hash": "0be63572f108b896bc8e20476eb6ba810b7cd179a2d1010d80296f8fe7c9920a",
  "private": false,
  "record": {
    "abstract": "We investigate stability and dynamics of higher-order solitary waves in\nquadratic media, which have a central peak and one or more surrounding rings.\nWe show existence of two qualitatively different behaviours. For positive phase\nmismatch the rings break up into filaments which move radially to initial ring.\nFor sufficient negative mismatches rings are found to coalesce with central\npeak, forming a single oscillating filament.",
    "arxiv_id": "patt-sol/9906007",
    "authors": [
      "Dmitry V. Skryabin",
      "William J. Firth"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "journal_ref": "Physical Review E, 1998, vol. 58, No. 2, pp. R1252-R1255",
    "title": "Instabilities of Higher-Order Parametric Solitons. Filamentation versus   Coalescence",
    "url": "https://arxiv.org/abs/patt-sol/9906007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "64325bc0-dfbe-405d-9d0e-2c019eecc52e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}