{
  "id": "1209.3666",
  "version": "v1",
  "published": "2012-09-17T14:31:56.000Z",
  "updated": "2012-09-17T14:31:56.000Z",
  "title": "Spectral stability for subsonic traveling pulses of the Boussinesq `abc' system",
  "authors": [
    "Sevdzhan Hakkaev",
    "Milena Stanislavova",
    "Atanas Stefanov"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the spectral stability of certain traveling wave solutions of the Boussinesq `abc' system. More precisely, we consider the explicit $sech^2(x)$ like solutions of the form $(\\vp(x-w t), \\psi(x- w t)=(\\vp, const. \\vp)$, exhibited by M. Chen (1998) and we provide a complete rigorous characterization of the spectral stability in all cases for which $a=c<0, b>0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-17T14:31:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B35",
      "35B40",
      "35G30"
    ],
    "keywords": [
      "spectral stability",
      "subsonic traveling pulses",
      "boussinesq",
      "traveling wave solutions",
      "complete rigorous characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.3666H"
    }
  }
}