{
  "annotation_id": "52110455-4c4d-4e3a-95da-409d347fd5cf",
  "date_created": "2026-03-02T18:00:28.659000Z",
  "date_modified": "2026-03-02T18:00:28.659000Z",
  "file_hash": "79068ba6a85b5746bede1ea3b7f953afb6fce043c9eda5e0e3ed53fe3d0f79ea",
  "private": false,
  "record": {
    "abstract": "We show that in a large class of equations, solitons formed from generic\ninitial conditions do not have infinitely long exponential tails, but are\ntruncated by a region of Gaussian decay. This phenomenon makes it possible to\ntreat solitons as localized, individual objects. For the case of the KdV\nequation, we show how the Gaussian decay emerges in the inverse scattering\nformalism.",
    "arxiv_id": "patt-sol/9803003",
    "authors": [
      "David A. Kessler",
      "Jeremy Schiff"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.58.7924",
    "title": "The Universal Gaussian in Soliton Tails",
    "url": "https://arxiv.org/abs/patt-sol/9803003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3a2e7235-a56a-4418-b070-b83f9e497eaa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}