{
  "id": "2002.03641",
  "version": "v1",
  "published": "2020-02-10T10:41:55.000Z",
  "updated": "2020-02-10T10:41:55.000Z",
  "title": "On a nonlinear Schr{ö}dinger equation for nucleons in one space dimension",
  "authors": [
    "Christian Klein",
    "Simona Nodari"
  ],
  "categories": [
    "math.AP",
    "cs.NA",
    "math.NA"
  ],
  "abstract": "We study a 1D nonlinear Schr{\\\"o}dinger equation appearing in the description of a particle inside an atomic nucleus. For various nonlinearities, the ground states are discussed and given in explicit form. Their stability is studied numerically via the time evolution of perturbed ground states. In the time evolution of general localized initial data, they are shown to appear in the long time behaviour of certain cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-10T10:41:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dinger equation",
      "nonlinear schr",
      "space dimension",
      "time evolution",
      "general localized initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}