{
  "id": "1010.2246",
  "version": "v1",
  "published": "2010-10-11T21:34:10.000Z",
  "updated": "2010-10-11T21:34:10.000Z",
  "title": "Numerical computation of solutions of the critical nonlinear Schrodinger equation after the singularity",
  "authors": [
    "Panagiotis Stinis"
  ],
  "comment": "17 pages, 8 color figures",
  "categories": [
    "math.NA",
    "math.AP"
  ],
  "abstract": "We present numerical results for the solution of the 1D critical nonlinear Schrodinger with periodic boundary conditions and initial data that give rise to a finite time singularity. We construct, through the Mori-Zwanzig formalism, a reduced model which allows us to follow the solution after the formation of the singularity. The computed post-singularity solution exhibits the same characteristics as the post-singularity solutions constructed recently by Terence Tao.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-11T21:34:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M99",
      "35D30",
      "35B44"
    ],
    "keywords": [
      "critical nonlinear schrodinger equation",
      "numerical computation",
      "post-singularity solution",
      "1d critical nonlinear schrodinger",
      "periodic boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.2246S"
    }
  }
}