{
  "id": "1012.1935",
  "version": "v1",
  "published": "2010-12-09T07:51:58.000Z",
  "updated": "2010-12-09T07:51:58.000Z",
  "title": "A Discussion on the Different Notions of Symmetry of Differential Equations",
  "authors": [
    "Giampaolo Cicogna"
  ],
  "comment": "11 pages, no figures",
  "journal": "Proc. Inst. Math. N.A.S. Ukr., vol. 50, 77-84 (2004)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A discussion is presented, within a simple unifying scheme, about different types of symmetry of PDE's, with the introduction and a precise characterization of the notions of \"standard\" and \"weak\" conditional symmetries, together with their relationship with exact and partial symmetries. An extensive use of \"symmetry-adapted\" variables will be made, and some clarifying examples are provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-09T07:51:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "differential equations",
      "discussion",
      "simple unifying scheme",
      "precise characterization",
      "conditional symmetries"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.1935C"
    }
  }
}