{
  "annotation_id": "76277f54-6ea7-4478-9c48-f1c74effad15",
  "date_created": "2026-03-02T18:00:29.447000Z",
  "date_modified": "2026-03-02T18:00:29.447000Z",
  "file_hash": "0b39c455adcfc3b65bfea928927db79181e1b89c1e837cf73a969751925f1884",
  "private": false,
  "record": {
    "abstract": "We study quadratic solitons supported by two- and three-wave parametric\ninteractions in chi-2 nonlinear media. Both planar and two-dimensional cases\nare considered. We obtain very accurate, \u0027almost exact\u0027, explicit analytical\nsolutions, matching the actual bright soliton profiles, with the help of a\nspecially-developed approach, based on analysis of the scaling properties.\nAdditionally, we use these approximations to describe the linear tails of\nsolitary waves which are related to the properties of the soliton bound states.",
    "arxiv_id": "patt-sol/9909001",
    "authors": [
      "Andrey A. Sukhorukov"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.61.4530",
    "journal_ref": "Phys. Rev. E 61, 4530-4539 (2000)",
    "title": "Approximate solutions and scaling transformations for quadratic solitons",
    "url": "https://arxiv.org/abs/patt-sol/9909001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0200c468-6078-4fd9-81d0-f25f90b1047e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}