{
  "id": "1312.1019",
  "version": "v1",
  "published": "2013-12-04T04:26:34.000Z",
  "updated": "2013-12-04T04:26:34.000Z",
  "title": "$L^2$ orbital stability of Dirac solitons in the massive Thirring model",
  "authors": [
    "Andres Contreras",
    "Dmitry E. Pelinovsky",
    "Yusuke Shimabukuro"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove $L^2$ orbital stability of Dirac solitons in the massive Thirring model. Our analysis uses local well posedness of the massive Thirring model in $L^2$, conservation of the charge functional, and the auto--B\\\"{a}cklund transformation. The latter transformation exists because the massive Thirring model is integrable via the inverse scattering transform method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-04T04:26:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "massive thirring model",
      "dirac solitons",
      "orbital stability",
      "inverse scattering transform method",
      "charge functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1267895,
      "adsabs": "2013arXiv1312.1019C"
    }
  }
}