{
  "id": "math-ph/0503009",
  "version": "v1",
  "published": "2005-03-07T00:01:06.000Z",
  "updated": "2005-03-07T00:01:06.000Z",
  "title": "Long time motion of NLS solitary waves in a confining potential",
  "authors": [
    "B. L. G. Jonsson",
    "J. Froehlich",
    "S. Gustafson",
    "I. M. Sigal"
  ],
  "comment": "42 pages, 2 figures",
  "journal": "Annales Henri Poincare, 7(4), pages 621--660, 2006.",
  "doi": "10.1007/s00023-006-0263-y",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We study the motion of solitary-wave solutions of a family of focusing generalized nonlinear Schroedinger equations with a confining, slowly varying external potential, $V(x)$. A Lyapunov-Schmidt decomposition of the solution combined with energy estimates allows us to control the motion of the solitary wave over a long, but finite, time interval. We show that the center of mass of the solitary wave follows a trajectory close to that of a Newtonian point particle in the external potential $V(x)$ over a long time interval.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-07T00:01:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "37K40"
    ],
    "keywords": [
      "nls solitary waves",
      "long time motion",
      "confining potential",
      "external potential",
      "newtonian point particle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006AnHP....7..621J"
    }
  }
}