{
  "id": "1408.1709",
  "version": "v2",
  "published": "2014-08-07T20:48:24.000Z",
  "updated": "2014-09-12T17:46:08.000Z",
  "title": "Orbital Stability of Periodic Waves for the Log-KdV Equation",
  "authors": [
    "Fabio Natali",
    "Ademir Pastor"
  ],
  "comment": "Small improvement added",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we evidence the orbital stability of positive periodic waves related to the logarithmic Korteweg-de Vries equation. Our motivation is inspired in the recent work \\cite{carles}, in which the authors established the well-posedness and the linear stability of Gaussian solitary waves. By using the approach put forward recently in \\cite{natali1} to construct a smooth branch of periodic waves as well as to get spectral properties of the associated linearized operator, we can apply the abstract theory in \\cite{grillakis1} to deduce the orbital stability in the periodic setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-07T20:48:24.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-12T17:46:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orbital stability",
      "log-kdv equation",
      "logarithmic korteweg-de vries equation",
      "gaussian solitary waves",
      "abstract theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1310309,
      "adsabs": "2014arXiv1408.1709N"
    }
  }
}