{
  "annotation_id": "112efdf6-32a2-4988-8448-abc06a6a25fd",
  "date_created": "2026-03-02T18:02:51.280000Z",
  "date_modified": "2026-03-02T18:02:51.280000Z",
  "file_hash": "624584d7d96c4a3d35638a555e93c0c2f202480909701fa610e150f5b47f6bd7",
  "private": false,
  "record": {
    "abstract": "Classical results of Stieltjes are used to obtain explicit formulas for the\npeakon-antipeakon solutions of the Camassa-Holm equation. The closed form\nsolution is expressed in terms of the orthogonal polynomials of the related\nclassical moment problem. It is shown that collisions occur only in\npeakon-antipeakon pairs, and the details of the collisions are analyzed using\nresults {}from the moment problem. A sharp result on the steepening of the\nslope at the time of collision is given. Asymptotic formulas are given, and the\nscattering shifts are calculated explicitly",
    "arxiv_id": "solv-int/9906001",
    "authors": [
      "Richard Beals",
      "D. H. Sattinger",
      "J. Szmigielski"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Multipeakons and the Classical Moment Problem",
    "url": "https://arxiv.org/abs/solv-int/9906001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "66d80cc1-24c7-44e4-9dd2-d294d4cea2de",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}