{
  "id": "1403.6778",
  "version": "v1",
  "published": "2014-03-26T18:12:56.000Z",
  "updated": "2014-03-26T18:12:56.000Z",
  "title": "On astigmatic solutions of the wave and the Klein-Gordon-Fock equations with exponential fall--off",
  "authors": [
    "Ignat V. Fialkovsky",
    "Maria V. Perel",
    "Alexander B. Plachenov"
  ],
  "comment": "27 pages, 3 pictures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Highly localized explicit solutions to multidimensional wave and Klein--Gordon--Fock equations are presented. Their Fourier transform is also found explicitly. Solutions depend on a set of parameters, and demonstrate astigmatic properties. Asymptotic analysis for large and moderate time shows that constructed solutions have Gaussian localisation near a point moving with the group speed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-26T18:12:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "klein-gordon-fock equations",
      "astigmatic solutions",
      "exponential fall-off",
      "demonstrate astigmatic properties",
      "highly localized explicit solutions"
    ],
    "publication": {
      "doi": "10.1063/1.4901233"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1287799,
      "adsabs": "2014arXiv1403.6778F"
    }
  }
}