{
  "id": "0810.4006",
  "version": "v1",
  "published": "2008-10-22T08:35:30.000Z",
  "updated": "2008-10-22T08:35:30.000Z",
  "title": "Integrability of Lie systems and some of its applications in physics",
  "authors": [
    "José F. Cariñena",
    "Javier de Lucas",
    "Manuel F. Rañada"
  ],
  "comment": "16 pages",
  "journal": "J. Phys. A: Math. Theor. 41 304029 (2008)",
  "doi": "10.1088/1751-8113/41/30/304029",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The geometric theory of Lie systems will be used to establish integrability conditions for several systems of differential equations, in particular Riccati equations and Ermakov systems. Many different integrability criteria in the literature will be analyzed from this new perspective and some applications in physics will be given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-22T08:35:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70H05",
      "22E60"
    ],
    "keywords": [
      "lie systems",
      "applications",
      "integrability criteria",
      "geometric theory",
      "ermakov systems"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2008,
      "month": "Aug",
      "volume": 41,
      "number": 30,
      "pages": 304029
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JPhA...41D4029C"
    }
  }
}