{
  "id": "1009.1523",
  "version": "v1",
  "published": "2010-09-08T13:14:10.000Z",
  "updated": "2010-09-08T13:14:10.000Z",
  "title": "Point symmetry group of the barotropic vorticity equation",
  "authors": [
    "Alexander Bihlo",
    "Roman O. Popovych"
  ],
  "comment": "13 pages, conference proceedings",
  "journal": "Proceedings of 5th Workshop \"Group Analysis of Differential Equations and Integrable Systems\" (June 6-10, 2010, Protaras, Cyprus), 2011, 15-27",
  "categories": [
    "math-ph",
    "math.MP",
    "physics.ao-ph"
  ],
  "abstract": "The complete point symmetry group of the barotropic vorticity equation on the $\\beta$-plane is computed using the direct method supplemented with two different techniques. The first technique is based on the preservation of any megaideal of the maximal Lie invariance algebra of a differential equation by the push-forwards of point symmetries of the same equation. The second technique involves a priori knowledge on normalization properties of a class of differential equations containing the equation under consideration. Both of these techniques are briefly outlined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-08T13:14:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "barotropic vorticity equation",
      "complete point symmetry group",
      "maximal lie invariance algebra",
      "differential equation",
      "first technique"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.1523B"
    }
  }
}