{
  "id": "0804.0746",
  "version": "v2",
  "published": "2008-04-04T14:24:00.000Z",
  "updated": "2009-02-09T10:26:55.000Z",
  "title": "Orbital stability of the black soliton to the Gross-Pitaevskii equation",
  "authors": [
    "Fabrice Béthuel",
    "Philippe Gravejat",
    "Jean-Claude Saut",
    "Didier Smets"
  ],
  "comment": "Final version published in Indiana University Mathematics Journal",
  "journal": "Indiana University Mathematics Journal 57, 6 (2008) 2611-2642",
  "doi": "10.1512/iumj.2008.57.3632",
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish the orbital stability of the black soliton, or kink solution, $\\v_0(x) = \\th \\big(\\frac{x}{\\sqrt{2}} \\big)$, to the one-dimensional Gross-Pitaevskii equation, with respect to perturbations in the energy space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-02-09T10:26:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B35",
      "35Q40",
      "35Q55"
    ],
    "keywords": [
      "black soliton",
      "orbital stability",
      "one-dimensional gross-pitaevskii equation",
      "kink solution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.0746B"
    }
  }
}