{
  "id": "math-ph/0406051",
  "version": "v1",
  "published": "2004-06-23T16:44:46.000Z",
  "updated": "2004-06-23T16:44:46.000Z",
  "title": "On the geometry of lambda-symmetries, and PDEs reduction",
  "authors": [
    "G. Gaeta",
    "P. Morando"
  ],
  "journal": "J. Phys. A 37 (2004), 6955-6975",
  "doi": "10.1088/0305-4470/37/27/007",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We give a geometrical characterization of $\\lambda$-prolongations of vector fields, and hence of $\\lambda$-symmetries of ODEs. This allows an extension to the case of PDEs and systems of PDEs; in this context the central object is a horizontal one-form $\\mu$, and we speak of $\\mu$-prolongations of vector fields and $\\mu$-symmetries of PDEs. We show that these are as good as standard symmetries in providing symmetry reduction of PDEs and systems, and explicit invariant solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-23T16:44:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pdes reduction",
      "lambda-symmetries",
      "vector fields",
      "explicit invariant solutions",
      "standard symmetries"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2004,
      "month": "Jul",
      "volume": 37,
      "number": 27,
      "pages": 6955
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004JPhA...37.6955G"
    }
  }
}