{
  "id": "1910.06880",
  "version": "v1",
  "published": "2019-10-15T15:51:35.000Z",
  "updated": "2019-10-15T15:51:35.000Z",
  "title": "General form of the solutions of some difference equations via Lie symmetry analysis",
  "authors": [
    "Mensah Folly-Gbetoula",
    "Melih Göcen",
    "Miraç Güneysu"
  ],
  "comment": "13,2",
  "categories": [
    "math.DS",
    "nlin.SI"
  ],
  "abstract": "In this paper, we obtain exact solutions of the following rational difference equation $ x_{n+1}=\\frac{x_{n}x_{n-2}x_{n-4}}{ x_{n-1}x_{n-3}(a_{n}+b_{n}x_{n}x_{n-2}x_{n-4})}, $ where $a_{n}$ and $b_{n}$ are random real sequences, by using the technique of Lie symmetry analysis. Moreover, we discuss the periodic nature and behavior of solutions for some special cases. This work is a generalization of some works by Elsayed and Ibrahim in [E.M.Elsayed, T. F. Ibrahim, { Solutions and periodicity of a rational recursive sequences of order five}, Bulletin of the Malaysian Mathematical Sciences Society 38:1 (2015), 95-112].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-15T15:51:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39A10"
    ],
    "keywords": [
      "lie symmetry analysis",
      "general form",
      "rational difference equation",
      "malaysian mathematical sciences society",
      "random real sequences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}