{
  "id": "1012.5747",
  "version": "v1",
  "published": "2010-12-28T12:42:11.000Z",
  "updated": "2010-12-28T12:42:11.000Z",
  "title": "Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system",
  "authors": [
    "Roman Cherniha",
    "Vasyl' Davydovych"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Q-conditional symmetries of the classical Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant non-Lie ans\\\"atze to reduce the classical Lotka-Volterra systems with correctly-specified coefficients to ODE systems and examples of new exact solutions are found. A possible biological interpretation of some exact solutions is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-28T12:42:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact solutions",
      "diffusive lotka-volterra system",
      "classical lotka-volterra system",
      "q-conditional symmetries",
      "explicit form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.5747C"
    }
  }
}