{
  "id": "1904.01512",
  "version": "v1",
  "published": "2019-03-31T02:33:27.000Z",
  "updated": "2019-03-31T02:33:27.000Z",
  "title": "On the Stability of Periodic Traveling Waves for the Modified Kawahara Equation",
  "authors": [
    "Gisele Detomazi Almeida",
    "Fabrício Cristófani",
    "Fábio Natali"
  ],
  "comment": "8 pages. arXiv admin note: text overlap with arXiv:1902.04402",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we present the first result concerning the orbital stability of periodic traveling waves for the modified Kawahara equation. Our method is based on the Fourier expansion of the periodic wave in order to know the behaviour of the nonpositive spectrum of the associated linearized operator around the periodic wave combined with a recent development which significantly simplifies the obtaining of orbital stability results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-31T02:33:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic traveling waves",
      "modified kawahara equation",
      "periodic wave",
      "orbital stability results",
      "fourier expansion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}