{
  "id": "0903.0354",
  "version": "v2",
  "published": "2009-03-02T18:54:27.000Z",
  "updated": "2013-04-01T16:18:00.000Z",
  "title": "Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity",
  "authors": [
    "Mihai Mariş"
  ],
  "comment": "60 pages. Final version, to appear in the Annals of Mathematics",
  "categories": [
    "math.AP"
  ],
  "abstract": "For a large class of nonlinear Schr\\\"odinger equations with nonzero conditions at infinity and for any speed $c$ less than the sound velocity, we prove the existence of nontrivial finite energy traveling waves moving with speed $c$ in any space dimension $N\\geq 3$. Our results are valid as well for the Gross-Pitaevskii equation and for NLS with cubic-quintic nonlinearity.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-01T16:18:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q51",
      "35Q55",
      "35Q40",
      "35J20",
      "35J15",
      "35B65",
      "37K40"
    ],
    "keywords": [
      "nonlinear schrödinger equations",
      "nonzero conditions",
      "energy traveling waves moving",
      "nontrivial finite energy traveling waves",
      "cubic-quintic nonlinearity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 60,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.0354M"
    }
  }
}