{
  "id": "1401.6777",
  "version": "v2",
  "published": "2014-01-27T09:40:37.000Z",
  "updated": "2014-04-12T18:25:24.000Z",
  "title": "Riemann--Hilbert problem for Camassa--Holm equation with step-like initial data",
  "authors": [
    "Alexander Minakov"
  ],
  "comment": "22 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Cauchy problem for the Camassa -- Holm equation with step-like initial conditions is reformulated as a Riemann -- Hilbert problem. The the initial value problem solution is obtained then in a parametric form from the Riemann -- Hilbert problem solution.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-12T18:25:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37K10",
      "37K15",
      "37K40",
      "35B40",
      "37K05",
      "J.2.8",
      "J.2.9"
    ],
    "keywords": [
      "step-like initial data",
      "camassa-holm equation",
      "riemann-hilbert problem",
      "initial value problem solution",
      "hilbert problem solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}