{
  "id": "2001.01155",
  "version": "v1",
  "published": "2020-01-05T02:40:10.000Z",
  "updated": "2020-01-05T02:40:10.000Z",
  "title": "Some connections between classical and nonclassical symmetries of a partial differential equation and their applications",
  "authors": [
    "Chaolu Temuer",
    "Laga Tong",
    "George Bluman"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Some connections between classical and nonclassical symmetries of a partial differential equation (PDE) are given in terms of determining equations of the two symmetries. These connections provide additional information for determining nonclassical symmetry of a PDE and make it easier to solve the system of nonlinear determining equations. As example, new nonclassical symmetries are exhibited for a class of generalized Burgers equation and KdV-type equations are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-05T02:40:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partial differential equation",
      "connections",
      "applications",
      "kdv-type equations",
      "nonlinear determining equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}