{
  "id": "1002.1209",
  "version": "v1",
  "published": "2010-02-05T12:02:18.000Z",
  "updated": "2010-02-05T12:02:18.000Z",
  "title": "Meromorphic solutions of a third order nonlinear differential equation",
  "authors": [
    "Robert Conte",
    "Ng Tuen-Wai"
  ],
  "comment": "12 pages, to appear, Journal of Mathematical Physics",
  "journal": "Journal of Mathematical Physics 51, 033518 (9 pp) (2010)",
  "categories": [
    "math.CA",
    "math.CV"
  ],
  "abstract": "We prove that all the meromorphic solutions of the nonlinear differential equation c0 u\"' + 6 u^4 + c1 u\" + c2 u u' + c3 u^3 + c4 u'+ c5 u^2 + c6 u +c7=0 are elliptic or degenerate elliptic, and we build them explicitly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-05T12:02:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D35",
      "02.30.Hq"
    ],
    "keywords": [
      "third order nonlinear differential equation",
      "meromorphic solutions",
      "nonlinear differential equation c0",
      "degenerate elliptic"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "doi": "10.1063/1.3319568",
      "year": 2010,
      "month": "Mar",
      "volume": 51,
      "number": 3,
      "pages": 3518
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JMP....51c3518C"
    }
  }
}