{
  "id": "math-ph/0112002",
  "version": "v1",
  "published": "2001-11-30T23:50:44.000Z",
  "updated": "2001-11-30T23:50:44.000Z",
  "title": "Linear Superposition in Nonlinear Equations",
  "authors": [
    "Avinash Khare",
    "Uday Sukhatme"
  ],
  "comment": "7 pages, 1 figure",
  "journal": "Phys.Rev.Lett. 88 (2002) 244101",
  "doi": "10.1103/PhysRevLett.88.244101",
  "categories": [
    "math-ph",
    "cond-mat",
    "hep-th",
    "math.AP",
    "math.MP",
    "nlin.SI",
    "quant-ph"
  ],
  "abstract": "Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinations of known periodic solutions involving Jacobi elliptic functions yield a large class of additional solutions. This procedure works by virtue of some remarkable new identities satisfied by the elliptic functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-11-30T23:50:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear equations",
      "linear superposition",
      "jacobi elliptic functions yield",
      "additional solutions",
      "suitable linear combinations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 567829
    }
  }
}