{
  "id": "1202.2133",
  "version": "v1",
  "published": "2012-02-09T21:23:06.000Z",
  "updated": "2012-02-09T21:23:06.000Z",
  "title": "Linear stability analysis for periodic traveling waves of the Boussinesq equation and the KGZ system",
  "authors": [
    "Sevdzhan Hakkaev",
    "Milena Stanislavova",
    "Atanas Stefanov"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The question for linear stability of spatially periodic waves for the Boussinesq equation (the cases $p=2,3$) and the Klein-Gordon-Zakharov system is considered. For a wide class of solutions, we completely and explicitly characterize their linear stability (instability respectively), when the perturbations are taken with the same period $T$. In particular, our results allow us to completely recover the linear stability results, in the limit $T\\to \\infty$, for the whole line case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-09T21:23:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B35",
      "35B40",
      "35G30"
    ],
    "keywords": [
      "linear stability analysis",
      "periodic traveling waves",
      "boussinesq equation",
      "kgz system",
      "linear stability results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2133H"
    }
  }
}