{
  "id": "1106.0154",
  "version": "v1",
  "published": "2011-06-01T12:30:14.000Z",
  "updated": "2011-06-01T12:30:14.000Z",
  "title": "Breathers and solitons of generalized nonlinear Schrödinger equations as degenerations of algebro-geometric solutions",
  "authors": [
    "Caroline Kalla"
  ],
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We present new solutions in terms of elementary functions of the multi-component nonlinear Schr\\\"odinger equations and known solutions of the Davey-Stewartson equations such as multi-soliton, breather, dromion and lump solutions. These solutions are given in a simple determinantal form and are obtained as limiting cases in suitable degenerations of previously derived algebro-geometric solutions. In particular we present for the first time breather and rational breather solutions of the multi-component nonlinear Schr\\\"odinger equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-01T12:30:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized nonlinear schrödinger equations",
      "algebro-geometric solutions",
      "degenerations",
      "multi-component nonlinear",
      "rational breather solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.0154K"
    }
  }
}