{
  "id": "1111.3002",
  "version": "v1",
  "published": "2011-11-13T11:49:31.000Z",
  "updated": "2011-11-13T11:49:31.000Z",
  "title": "Evolution equations of the second and third order with Lie-Bäcklund symmetries",
  "authors": [
    "Nail H. Ibragimov"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Chapter 4 of my book [1] is dedicated to Lie-B\\\"acklund group analysis of various types of differential equations. The Russian edition of this book had an Addendum (pages 262-266) containing a summary of new results (obtained by the end of 1982) on classification of evolution equations of the second and third order possessing Lie-B\\\"acklund symmetries. The \\textit{Addendum} was not included in the English translation of the book by technical reasons. I present here the missing translation. In order to make the text self-contained, I have added in the translation the equations from the main body of the book used in the Addendum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-13T11:49:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "third order",
      "evolution equations",
      "lie-bäcklund symmetries",
      "translation",
      "group analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.3002I"
    }
  }
}