{
  "id": "1305.1804",
  "version": "v2",
  "published": "2013-05-08T12:56:40.000Z",
  "updated": "2013-05-23T17:36:54.000Z",
  "title": "Soliton dynamics for fractional Schrodinger equations",
  "authors": [
    "Simone Secchi",
    "Marco Squassina"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the soliton dynamics for the fractional nonlinear Schrodinger equation by a suitable modulational inequality. In the semiclassical limit, the solution concentrates along a trajectory determined by a Newtonian equation depending of the fractional diffusion parameter.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-23T17:36:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q51",
      "35Q40",
      "35Q41"
    ],
    "keywords": [
      "fractional schrodinger equations",
      "soliton dynamics",
      "fractional nonlinear schrodinger equation",
      "fractional diffusion parameter",
      "suitable modulational inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.1804S"
    }
  }
}