{
  "id": "1310.2108",
  "version": "v1",
  "published": "2013-10-08T12:16:32.000Z",
  "updated": "2013-10-08T12:16:32.000Z",
  "title": "Vortex Filament Equation and Non-Lightlike Space Curves in Minkowski 3-space",
  "authors": [
    "Nevin Gürbüz",
    "Süleyman Cengiz"
  ],
  "categories": [
    "math.DG",
    "math.DS"
  ],
  "abstract": "In this paper, the parallel transport frames over non-lightlike curves in Minkowski 3-space are introduced. Evolution equations of these frames with respect to arc length and time are calculated over the space of these curves. Then the equivalence of the non-linear Schr\\\"odinger equation and non-linear heat system to the vortex filament equation for the binormal motion of non-lightlike curves is shown by use of the parallel frames and their evolution equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-08T12:16:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vortex filament equation",
      "non-lightlike space curves",
      "evolution equations",
      "non-lightlike curves",
      "parallel transport frames"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.2108G"
    }
  }
}