{
  "id": "2006.03803",
  "version": "v1",
  "published": "2020-06-06T07:26:25.000Z",
  "updated": "2020-06-06T07:26:25.000Z",
  "title": "The wave breaking for Whitham-type equations revisited",
  "authors": [
    "Jean-Claude Saut",
    "Yuexun Wang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove wave breaking (shock formation) for some Whitham-type equations which include the Burgers-Hilbert equation, the fractional Korteweg-de Vries equation, and the classical Whitham equation. The result seems to be new for the Burgers-Hilbert equation. In the other cases we provide simpler proofs than the known ones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-06T07:26:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "whitham-type equations",
      "wave breaking",
      "fractional korteweg-de vries equation",
      "burgers-hilbert equation",
      "simpler proofs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}