{
  "id": "2010.07520",
  "version": "v1",
  "published": "2020-10-15T04:54:18.000Z",
  "updated": "2020-10-15T04:54:18.000Z",
  "title": "The existence and decay of solitary waves for the Fornberg-Whitham equation",
  "authors": [
    "Yong Zhang",
    "Fei Xu",
    "Fengquan Li"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we consider the Fornberg-Whitham equation and a family of solitary wave solutions is found by using minimization principle, where a related penalization function and the concentration-compactness lemma play a key role in our proof. Besides, we also prove that the family of solitary solutions is orbital stable and decay exponentially when speed wave c is bigger than 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-15T04:54:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "76B15",
      "76B03",
      "35A01"
    ],
    "keywords": [
      "fornberg-whitham equation",
      "solitary wave solutions",
      "concentration-compactness lemma play",
      "minimization principle",
      "solitary solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}