{
  "id": "1010.2897",
  "version": "v1",
  "published": "2010-10-14T13:08:39.000Z",
  "updated": "2010-10-14T13:08:39.000Z",
  "title": "A large time asymptotics for transparent potentials for the Novikov-Veselov equation at positive energy",
  "authors": [
    "Anna Kazeykina",
    "Roman Novikov"
  ],
  "doi": "10.1142/S1402925111001660",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the present paper we begin studies on the large time asymptotic behavior for solutions of the Cauchy problem for the Novikov--Veselov equation (an analog of KdV in 2 + 1 dimensions) at positive energy. In addition, we are focused on a family of reflectionless (transparent) potentials parameterized by a function of two variables. In particular, we show that there are no isolated soliton type waves in the large time asymptotics for these solutions in contrast with well-known large time asymptotics for solutions of the KdV equation with reflectionless initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-14T13:08:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "novikov-veselov equation",
      "positive energy",
      "transparent potentials",
      "well-known large time asymptotics",
      "large time asymptotic behavior"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Nonlinear Mathematical Physics",
      "year": 2011,
      "volume": 18,
      "number": 3,
      "pages": 377
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JNMP...18..377K"
    }
  }
}