{
  "id": "2004.03743",
  "version": "v1",
  "published": "2020-04-07T23:12:16.000Z",
  "updated": "2020-04-07T23:12:16.000Z",
  "title": "A formula for symmetry recursion operators from non-variational symmetries of partial differential equations",
  "authors": [
    "Stephen C. Anco",
    "Bao Wang"
  ],
  "comment": "26 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-variational symmetries. The formula is special case of a general formula that produces a pre-symplectic operator from a non-gradient adjoint-symmetry. These formulas are illustrated by several examples of linear PDEs and integrable nonlinear PDEs. Additionally, a classification of quasilinear second-order PDEs admitting a multiplicative symmetry recursion operator through the first formula is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-07T23:12:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partial differential equations",
      "non-variational symmetries",
      "results connecting variational integrating factors",
      "multiplicative symmetry recursion operator",
      "quasilinear second-order pdes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}