{
  "id": "1811.06141",
  "version": "v1",
  "published": "2018-11-15T02:01:51.000Z",
  "updated": "2018-11-15T02:01:51.000Z",
  "title": "Self-similar solutions to the derivative nonlinear Schrödinger equation",
  "authors": [
    "Kazumasa Fujiwara",
    "Vladimir Georgiev",
    "Tohru Ozawa"
  ],
  "comment": "16 pages, no figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "A class of self-similar solutions to the derivative nonlinear Schr\\\"odinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic phase correction. This logarithmic phase correction is obtained from the nonlinear interaction of profile functions. This is a remarkable difference from the pseudo-conformally invariant case, where the logarithmic correction comes from the linear part of the equations of the profile functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-15T02:01:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55"
    ],
    "keywords": [
      "derivative nonlinear schrödinger equation",
      "self-similar solutions",
      "logarithmic phase correction",
      "profile functions",
      "logarithmic correction comes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}