{
  "id": "math-ph/0208005",
  "version": "v1",
  "published": "2002-08-02T10:13:08.000Z",
  "updated": "2002-08-02T10:13:08.000Z",
  "title": "Equivalence of Q-Conditional Symmetries under Group of Local Transformation",
  "authors": [
    "Roman O. Popovych"
  ],
  "comment": "LaTeX2e, 7 pages",
  "journal": "Proccedings of the Third Inter. Conf. \"Symmetry in Nonlinear Mathematical Physics\", Kyiv, Institute of Mathematics, 2000, Part 1, 184-189",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP",
    "nlin.SI",
    "physics.flu-dyn"
  ],
  "abstract": "The definition of Q-conditional symmetry for one PDE is correctly generalized to a special case of systems of PDEs and involutive families of operators. The notion of equivalence of Q-conditional symmetries under a group of local transformation is introduced. Using this notion, all possible single Q-conditional symmetry operators are classified for the n-dimensional (n >= 2) linear heat equation and for the Euler equations describing the motion of an incompressible ideal fluid.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-08-02T10:13:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A30",
      "58J70",
      "35K05",
      "35Q30",
      "35Q35",
      "76D05",
      "76M60"
    ],
    "keywords": [
      "local transformation",
      "equivalence",
      "single q-conditional symmetry operators",
      "linear heat equation",
      "special case"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.ph...8005P"
    }
  }
}