{
  "id": "2002.09531",
  "version": "v1",
  "published": "2020-02-21T19:47:35.000Z",
  "updated": "2020-02-21T19:47:35.000Z",
  "title": "Solitary wave solutions and global well-posedness for a coupled system of gKdV equations",
  "authors": [
    "Andressa Gomes",
    "Ademir Pastor"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this work we consider the initial-value problem associated with a coupled system of generalized Korteweg-de Vries equations. We present a relationship between the best constant for a Gagliardo-Nirenberg type inequality and a criterion for the existence of global solutions in the energy space. We prove that such a constant is directly related to the existence problem of solitary-wave solutions with minimal mass, the so called ground state solutions. To guarantee the existence of ground states we use a variational method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-21T19:47:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "solitary wave solutions",
      "coupled system",
      "gkdv equations",
      "global well-posedness",
      "ground state solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}