{
  "id": "1712.04410",
  "version": "v1",
  "published": "2017-12-12T18:01:09.000Z",
  "updated": "2017-12-12T18:01:09.000Z",
  "title": "Soliton dynamics for the general Degasperis-Procesi equation",
  "authors": [
    "Georgy Omel'yanov"
  ],
  "comment": "13 pages, 3 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the general Degasperis-Procesi model of shallow water out-flows. This fife parametric family of conservation laws contains, in particular, KdV, Camassa-Holm, and Degasperis-Procesi equations. The main result consists of a criterion which guarantees the existence of a smooth soliton type solution. We discuss also the scenario of soliton interaction for this model in the nonintegrable case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-12T18:01:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53",
      "35D30"
    ],
    "keywords": [
      "general degasperis-procesi equation",
      "soliton dynamics",
      "smooth soliton type solution",
      "main result consists",
      "conservation laws contains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}