{
  "id": "0704.2393",
  "version": "v1",
  "published": "2007-04-18T17:35:38.000Z",
  "updated": "2007-04-18T17:35:38.000Z",
  "title": "Symmetry in the Painlevé systems and their extensions to four-dimensional systems",
  "authors": [
    "Yusuke Sasano"
  ],
  "comment": "32 pages, 16 figures",
  "journal": "Funkcialaj Ekvacioj, 51 (2008) 351-369",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give a new approach to the symmetries of the Painlev\\'e equations $P_{V},P_{IV},P_{III}$ and $P_{II}$, respectively. Moreover, we make natural extensions to fourth-order analogues for each of the Painlev\\'e equations $P_{V}$ and $P_{III}$, respectively, which are natural in the sense that they preserve the symmetries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-18T17:35:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M55",
      "34M45",
      "58F05",
      "32S65"
    ],
    "keywords": [
      "four-dimensional systems",
      "painleve equations",
      "fourth-order analogues",
      "natural extensions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.2393S"
    }
  }
}