{
  "annotation_id": "ad8ea33b-d9ce-482b-b9fb-96b01764cf70",
  "date_created": "2026-03-02T18:00:29.156000Z",
  "date_modified": "2026-03-02T18:00:29.156000Z",
  "file_hash": "e6d72d3dea60bd25ead7cad50c9ed3cbd64f8eeb275902608a60da7e458873be",
  "private": false,
  "record": {
    "abstract": "We study solitary wave solutions of the higher order nonlinear Schrodinger\nequation for the propagation of short light pulses in an optical fiber. Using a\nscaling transformation we reduce the equation to a two-parameter canonical\nform. Solitary wave (1-soliton) solutions exist provided easily met inequality\nconstraints on the parameters in the equation are satisfied. Conditions for the\nexistence of N-soliton solutions (N\u003e1) are determined; when these conditions\nare met the equation becomes the modified KdV equation. A proper subset of\nthese conditions meet the Painleve plausibility conditions for integrability.",
    "arxiv_id": "patt-sol/9612004",
    "authors": [
      "M. Gedalin",
      "T. C. Scott",
      "Y. B. Band"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS",
      "nlin.SI",
      "solv-int"
    ],
    "doi": "10.1103/PhysRevLett.78.448",
    "title": "Optical Solitary Waves in the Higher Order Nonlinear Schrodinger   Equation",
    "url": "https://arxiv.org/abs/patt-sol/9612004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d3ab6abd-f922-4858-9ae7-d8e6a05c4985",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}