{
  "id": "1507.08368",
  "version": "v1",
  "published": "2015-07-30T03:46:15.000Z",
  "updated": "2015-07-30T03:46:15.000Z",
  "title": "Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions",
  "authors": [
    "Kai Yan",
    "Zhijun Qiao",
    "Yufeng Zhang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity, which includes the cubic Camassa-Holm equation (also called the Fokas-Olver-Rosenau-Qiao equation) as a special case. The one peaked solitons (peakons) and two peakon solutions are described in an explicit formula. Then, the local well-posedness for the Cauchy problem of the system is studied. Moreover, we target at the precise blow-up scenario for strong solutions to the system, and establish a new blow-up result with respect to the initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-30T03:46:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integrable two-component camassa-holm system",
      "peakon solutions",
      "cubic nonlinearity",
      "blow-up phenomena",
      "cubic camassa-holm equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}