{
  "id": "math/0205114",
  "version": "v1",
  "published": "2002-05-10T18:10:05.000Z",
  "updated": "2002-05-10T18:10:05.000Z",
  "title": "Chaos in Partial Differential Equations",
  "authors": [
    "Yanguang Charles Li"
  ],
  "journal": "Contemporary Mathematics: Proceedings of the Conference on the Legacy of the Inverse Scattering Transform in Applied Mathematics, edited by J. Bona, R. Choudhury, and D. Kaup, 2002",
  "categories": [
    "math.AP",
    "math-ph",
    "math.DS",
    "math.MP"
  ],
  "abstract": "This is a survey on Chaos in Partial Differential Equations. First we classify soliton equations into three categories: 1. (1+1)-dimensional soliton equations, 2. soliton lattices, 3. (1+n)-dimensional soliton equations (n greater than 1). A systematic program has been established by the author and collaborators, for proving the existence of chaos in soliton equations under perturbations. For each category, we pick a representative to present the results. Then we review some initial results on 2D Euler equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-05-10T18:10:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35Q30",
      "37L10",
      "37L50",
      "35Q99"
    ],
    "keywords": [
      "partial differential equations",
      "2d euler equation",
      "systematic program",
      "classify soliton equations",
      "initial results"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......5114L"
    }
  }
}