{
  "id": "2006.04332",
  "version": "v1",
  "published": "2020-06-08T02:59:19.000Z",
  "updated": "2020-06-08T02:59:19.000Z",
  "title": "Long-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited",
  "authors": [
    "Hongzi Cong",
    "Yunfeng Shi",
    "Zhifei Zhang"
  ],
  "comment": "Comments welcome, 20 pages",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "In this paper, we confirm the conjecture of Wang and Zhang (J. Stat. Phys. 134 (5-6): 953--968, 2009) in a long time scale, i.e., the displacement of the wavefront for $1D$ nonlinear random Schrodinger equation is of logarithmic order in time $|t|$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-08T02:59:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear schrodinger equation",
      "long-time anderson localization",
      "nonlinear random schrodinger equation",
      "long time scale",
      "logarithmic order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}