{
  "annotation_id": "ce55150e-b962-45db-b136-3a48459d5b73",
  "date_created": "2026-03-02T18:02:51.561000Z",
  "date_modified": "2026-03-02T18:02:51.561000Z",
  "file_hash": "8704d25a7fa897c4c9d42143c86ae777d2f33bf2a0d979780a162f56eae93170",
  "private": false,
  "record": {
    "abstract": "We investigate the integrability of Nonlinear Partial Differential Equations\n(NPDEs). The concepts are developed by firstly discussing the integrability of\nthe KdV equation. We proceed by generalizing the ideas introduced for the KdV\nequation to other NPDEs. The method is based upon a linearization principle\nwhich can be applied on nonlinearities which have a polynomial form. We\nillustrate the potential of the method by finding solutions of the (coupled)\nnonlinear Schr\\\"{o}dinger equation and the Manakov equation which play an\nimportant role in optical fiber communication. Finally, it is shown that the\nmethod can also be generalized to higher-dimensions.",
    "arxiv_id": "solv-int/9807007",
    "authors": [
      "H. J. S. Dorren"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1063/1.532843",
    "title": "On the integrability of nonlinear partial differential equations",
    "url": "https://arxiv.org/abs/solv-int/9807007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "92374763-94a4-48ce-ad97-333be049cee0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}