{
  "id": "2303.12351",
  "version": "v1",
  "published": "2023-03-22T07:35:34.000Z",
  "updated": "2023-03-22T07:35:34.000Z",
  "title": "Scattering below ground states for a class of systems of nonlinear Schrodinger equations",
  "authors": [
    "Satoshi Masaki",
    "Ryusei Tsukuda"
  ],
  "comment": "22 pages, no figure",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we consider the scattering problem for a class of $N$-coupled systems of the cubic nonlinear Schr\\\"odinger equations in three space dimensions. We prove the scattering of solutions that have a mass-energy quantity less than that for the ground states. This result is previously obtained by Duyckaerts-Holmer-Roudenko for the single cubic nonlinear Schr\\\"odinger equation in three space dimensions. It turns out that the result can be extended to a wide class of $N$-coupled systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-22T07:35:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35B40"
    ],
    "keywords": [
      "nonlinear schrodinger equations",
      "ground states",
      "space dimensions",
      "scattering",
      "coupled systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}