{
  "id": "0711.3356",
  "version": "v1",
  "published": "2007-11-21T11:56:08.000Z",
  "updated": "2007-11-21T11:56:08.000Z",
  "title": "Solitary waves in Abelian Gauge Theories",
  "authors": [
    "Vieri Benci",
    "Donato Fortunato"
  ],
  "comment": "27 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Abelian gauge theories consist of a class of field equations which provide a model for the interaction between matter and electromagnetic fields. In this paper we analyze the existence of solitary waves for these theories. We assume that the lower order term W is positive and we prove the existence of solitary waves if the coupling between matter and electromagnetic field is small. We point out that the positiveness assumption on W implies that the energy is positive: this fact makes these theories more suitable to model physical phenomena.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-21T11:56:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J50",
      "81T13"
    ],
    "keywords": [
      "solitary waves",
      "electromagnetic field",
      "abelian gauge theories consist",
      "lower order term",
      "model physical phenomena"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 768356,
      "adsabs": "2007arXiv0711.3356B"
    }
  }
}