{
  "id": "1402.2662",
  "version": "v2",
  "published": "2014-02-11T21:06:30.000Z",
  "updated": "2014-11-09T19:38:21.000Z",
  "title": "On the solutions of some boundary value problems for the general KdV equation",
  "authors": [
    "Mikhail Yu. Ignatyev"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper is concerned with a class of partial differential equations, which are the linear combinations, with constant coefficients, of the classical flows of the KdV hierarchy. A boundary value problem with inhomogeneous boundary conditions of a certain special form is studied. We construct some class of solutions of the problem using the inverse spectral method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-11T21:06:30.000Z",
      "abstract": "This paper is concerned with nonlinear partial-differential equations from the Korteweg-de Vries hierarchy. A boundary value problem with inhomogeneous boundary conditions of a certain special form is studied. We construct some class of solutions of the problem using the inverse spectral method.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-09T19:38:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary value problem",
      "general kdv equation",
      "nonlinear partial-differential equations",
      "korteweg-de vries hierarchy",
      "inverse spectral method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11040-014-9167-0",
      "journal": "Mathematical Physics, Analysis and Geometry",
      "year": 2014,
      "month": "Dec",
      "volume": 17,
      "number": "3-4",
      "pages": 9167
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014MPAG...17.9167I"
    }
  }
}