{
  "id": "1601.07674",
  "version": "v1",
  "published": "2016-01-28T07:38:52.000Z",
  "updated": "2016-01-28T07:38:52.000Z",
  "title": "Stability in the energy space of the sum of N peakons for the Degasperis-Procesi equation",
  "authors": [
    "André Kabakouala"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:0803.0261 by other authors",
  "journal": "Electronic Journal of Differential Equations, Texas State University, Department of Mathematics, 2015, 259 (5), pp.1841--1897",
  "doi": "10.1016/j.jde.2015.03.014",
  "categories": [
    "math.AP"
  ],
  "abstract": "The Degasperis-Procesi equation possesses well-known peaked solitary waves that are called peakons. Their stability has been established by Lin and Liu in [5]. In this paper, we localize the proof (in some suitable sense detailed in Section 3) of the stability of a single peakon. Thanks to this, we extend the result of stability to the sum of N peakons traveling to the right with respective speeds c1, . . . , cN , such that the difference between consecutive locations of peakons is large enough.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-28T07:38:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy space",
      "possesses well-known peaked solitary waves",
      "equation possesses well-known peaked solitary",
      "degasperis-procesi equation possesses well-known"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}