{
  "id": "0711.2408",
  "version": "v2",
  "published": "2007-11-15T13:43:03.000Z",
  "updated": "2008-08-26T15:43:45.000Z",
  "title": "Travelling waves for the Gross-Pitaevskii equation II",
  "authors": [
    "Fabrice Bethuel",
    "Philippe Gravejat",
    "Jean-Claude Saut"
  ],
  "comment": "Final version accepted for publication in Communications in Mathematical Physics with a few minor corrections and added remarks",
  "journal": "Communications in Mathematical Physics 285, 2 (2009) 567-651",
  "doi": "10.1007/s00220-008-0614-2",
  "categories": [
    "math.AP"
  ],
  "abstract": "The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three. Our arguments, based on minimization under constraints, yield a full branch of solutions, and extend earlier results, where only a part of the branch was built. In dimension three, we also show that there are no travelling wave solutions of small energy.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-08-26T15:43:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35Q51"
    ],
    "keywords": [
      "gross-pitaevskii equation",
      "travelling wave solutions",
      "extend earlier results",
      "full branch",
      "small energy"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2009,
      "month": "Jan",
      "volume": 285,
      "number": 2,
      "pages": 567
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009CMaPh.285..567B"
    }
  }
}