{
  "id": "1608.07944",
  "version": "v1",
  "published": "2016-08-29T08:13:34.000Z",
  "updated": "2016-08-29T08:13:34.000Z",
  "title": "Symmetry and decay of traveling wave solutions to the Whitham equation",
  "authors": [
    "Gabriele Bruell",
    "Mats Ehrnström",
    "Long Pei"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is concerned with decay and symmetry properties of solitary wave solutions to a nonlocal shallow water wave model. It is shown that all supercritical solitary wave solutions are symmetric and monotone on either side of the crest. The proof is based on a priori decay estimates and the method of moving planes. Furthermore, a close relation between symmetric and traveling wave solutions is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-29T08:13:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53",
      "35B06",
      "35B40",
      "35S30",
      "45K05"
    ],
    "keywords": [
      "traveling wave solutions",
      "whitham equation",
      "nonlocal shallow water wave model",
      "supercritical solitary wave solutions",
      "priori decay estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}