{
  "id": "1806.01927",
  "version": "v1",
  "published": "2018-06-02T01:18:53.000Z",
  "updated": "2018-06-02T01:18:53.000Z",
  "title": "Solitons and peaked solitons for the general Degasperis-Procesi model",
  "authors": [
    "J. Noyola Rodriguez",
    "G. Omel'yanov"
  ],
  "comment": "15 pages, 4 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the general Degasperis-Procesi model of shallow water out-flows. This six parametric family of conservation laws contains, in particular, KdV, Benjamin-Bona-Mahony, Camassa-Holm, and Degasperis-Procesi equations. The main result consists of criterions which guarantee the existence of solitary wave solutions: solitons and peakons (\"peaked solitons\").",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-02T01:18:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35Q53",
      "35D30"
    ],
    "keywords": [
      "general degasperis-procesi model",
      "peaked solitons",
      "conservation laws contains",
      "solitary wave solutions",
      "main result consists"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}