{
  "id": "1501.02542",
  "version": "v1",
  "published": "2015-01-12T04:42:04.000Z",
  "updated": "2015-01-12T04:42:04.000Z",
  "title": "Renormalized asymptotic solutions of the Burgers equation and the Korteweg-de Vries equation",
  "authors": [
    "Sergei V. Zakharov"
  ],
  "comment": "8 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Cauchy problem for the Burgers equation and the Korteweg-de Vries equation is considered. Uniform renormalized asymptotic solutions are constructed in cases of a large initial gradient and a perturbed initial weak discontinuity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-12T04:42:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K15",
      "35Q53"
    ],
    "keywords": [
      "korteweg-de vries equation",
      "burgers equation",
      "uniform renormalized asymptotic solutions",
      "large initial gradient",
      "perturbed initial weak discontinuity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}