{
  "id": "2002.03245",
  "version": "v1",
  "published": "2020-02-08T23:04:51.000Z",
  "updated": "2020-02-08T23:04:51.000Z",
  "title": "Nonlinear Stability of Periodic-Wave Solutions for Systems of Dispersive Equations",
  "authors": [
    "Fabrício Cristófani",
    "Ademir Pastor"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the orbital stability of periodic traveling-wave solutions for systems of dispersive equations with coupled nonlinear terms. Our method is basically developed under two assumptions: one concerning the spectrum of the linearized operator around the traveling wave and another one concerning the existence of a conserved quantity with suitable properties. The method can be applied to several systems such as the Liu-Kubota-Ko system, the modified KdV system and a log-KdV type system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-08T23:04:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dispersive equations",
      "periodic-wave solutions",
      "nonlinear stability",
      "log-kdv type system",
      "periodic traveling-wave solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}