{
  "annotation_id": "b136677e-6c4e-4992-b228-96adc318fa5e",
  "date_created": "2026-03-02T18:00:28.670000Z",
  "date_modified": "2026-03-02T18:00:28.670000Z",
  "file_hash": "74d60be1d8b955238efa86dacbb28ef68b536893d98210276b95e0688e4bca79",
  "private": false,
  "record": {
    "abstract": "We integrate the one-dimensional nonlinear Schr\\\"odinger equation numerically\nfor solitons moving in external potentials. In particular, we study the\nscattering off an interface separating two regions of constant potential\nmodeled by a linear ramp. Transmission coefficients and inelasticities are\ncomputed as functions of the potential difference and the slope of the ramp.\nOur data show that the ramp\u0027s slope has a strong influence revealing unexpected\nwindows of reflection in a transmission regime. The transmission coefficients\nfor very small potential differences are compared with the theoretical\npredictions derived by perturbation theory. Also the time evolution of the\nsolitary waves after the scattering is studied. We observed that they in\ngeneral behave like solitons with an amplified amplitude. Due to this, they\noscillate. The oscillation period is measured and compared with theoretical\npredictions.\n  PACS number(s): 03.40.Kf, 0.3.65.Ge, 42.65.Tg, 42.81.Dp",
    "arxiv_id": "patt-sol/9812006",
    "authors": [
      "H. Frauenkron"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "title": "Nonlinear Schr\\\"odinger solitons scattering off an interface",
    "url": "https://arxiv.org/abs/patt-sol/9812006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "10ea96f1-8108-4744-9020-c1820cd79b5d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}