{
  "id": "1004.5311",
  "version": "v1",
  "published": "2010-04-29T14:46:29.000Z",
  "updated": "2010-04-29T14:46:29.000Z",
  "title": "Lie point symmetries of differential--difference equations",
  "authors": [
    "D. Levi",
    "P. Winternitz",
    "R. Yamilov"
  ],
  "comment": "17 pages, 1 figure",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We present an algorithm for determining the Lie point symmetries of differential equations on fixed non transforming lattices, i.e. equations involving both continuous and discrete independent variables. The symmetries of a specific integrable discretization of the Krichever-Novikov equation, the Toda lattice and Toda field theory are presented as examples of the general method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-29T14:46:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39A10",
      "65Q10",
      "70G65"
    ],
    "keywords": [
      "lie point symmetries",
      "differential-difference equations",
      "discrete independent variables",
      "toda field theory",
      "fixed non transforming lattices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.5311L"
    }
  }
}