{
  "id": "1101.1605",
  "version": "v3",
  "published": "2011-01-08T16:47:03.000Z",
  "updated": "2011-04-13T21:54:49.000Z",
  "title": "Negative order KdV equation with both solitons and kink wave solutions",
  "authors": [
    "Zhijun Qiao",
    "Jibin Li"
  ],
  "journal": "Europhys.Lett.94:50003,2011",
  "doi": "10.1209/0295-5075/94/50003",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.PS",
    "nlin.SI",
    "physics.flu-dyn"
  ],
  "abstract": "In this paper, we report an interesting integrable equation that has both solitons and kink solutions. The integrable equation we study is $(\\frac{-u_{xx}}{u})_{t}=2uu_{x}$, which actually comes from the negative KdV hierarchy and could be transformed to the Camassa-Holm equation through a gauge transform. The Lax pair of the equation is derived to guarantee its integrability, and furthermore the equation is shown to have classical solitons, periodic soliton and kink solutions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-04-13T21:54:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "negative order kdv equation",
      "kink wave solutions",
      "kink solutions",
      "integrable equation",
      "negative kdv hierarchy"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "EPL (Europhysics Letters)",
      "year": 2011,
      "month": "Jun",
      "volume": 94,
      "number": 5,
      "pages": 50003
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 883894,
      "adsabs": "2011EL.....9450003Q"
    }
  }
}