{
  "id": "0705.4073",
  "version": "v2",
  "published": "2007-05-28T17:10:01.000Z",
  "updated": "2008-02-15T02:46:02.000Z",
  "title": "Quasi-linear dynamics in nonlinear Schr\\\" odinger equation with periodic boundary conditions",
  "authors": [
    "M. Burak Erdogan",
    "Vadim Zharnitsky"
  ],
  "comment": "19 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is shown that a large subset of initial data with finite energy ($L^2$ norm)evolves nearly linearly in nonlinear Schr\\\" odinger equation with periodic boundary conditions. These new solutions are not perturbations of the known ones such as solitons, semiclassical or weakly linear solutions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-02-15T02:46:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic boundary conditions",
      "odinger equation",
      "quasi-linear dynamics",
      "weakly linear solutions",
      "large subset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.4073B"
    }
  }
}