{
  "id": "1512.01835",
  "version": "v1",
  "published": "2015-12-06T21:20:08.000Z",
  "updated": "2015-12-06T21:20:08.000Z",
  "title": "Symmetry properties of conservation laws",
  "authors": [
    "Stephen C. Anco"
  ],
  "comment": "11 pages. arXiv admin note: substantial text overlap with arXiv:1510.09154",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "Symmetry properties of conservation laws of partial differential equations are developed by using the general method of conservation law multipliers. As main results, simple conditions are given for characterizing when a conservation law and its associated conserved quantity are invariant (and, more generally, homogeneous) under the action of a symmetry. These results are used to show that a recent conservation law formula (due to Ibragimov) is equivalent to a standard formula for the action of an infinitesimal symmetry on a conservation law multiplier.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-06T21:20:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetry properties",
      "conservation law multiplier",
      "partial differential equations",
      "conservation law formula",
      "standard formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151201835A"
    }
  }
}