{
  "annotation_id": "b1404c41-6b9c-45a8-98b0-823348e0b06b",
  "date_created": "2026-03-02T18:02:51.572000Z",
  "date_modified": "2026-03-02T18:02:51.572000Z",
  "file_hash": "e14aae9c623d31aef0210cab1f8a5437da043ea697d1f068554d6526ec09f481",
  "private": false,
  "record": {
    "abstract": "Conservation laws of the nonlinear Schr\\\"{o}dinger equation are studied in\nthe presence of higher-order nonlinear optical effects including the\nthird-order dispersion and the self-steepening. In a context of group theory,\nwe derive a general expression for infinitely many conserved currents and\ncharges of the coupled higher-order nonlinear Schr\\\"{o}dinger equation. The\nfirst few currents and charges are also presented explicitly. Due to the\nhigher-order effects, conservation laws of the nonlinear Schr\\\"{o}dinger\nequation are violated in general. The differences between the types of the\nconserved currents for the Hirota and the Sasa-Satsuma equations imply that the\nhigher-order terms determine the inherent types of conserved quantities for\neach integrable cases of the higher-order nonlinear Schr\\\"{o}dinger equation.",
    "arxiv_id": "solv-int/9904008",
    "authors": [
      "Jongbae Kim",
      "Q-Han Park",
      "H. J. Shin"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1103/PhysRevE.58.6746",
    "journal_ref": "Phys. Rev. E {\\bf 58} 6746, 1998",
    "title": "Conservation Laws in Higher-Order Nonlinear Optical Effects",
    "url": "https://arxiv.org/abs/solv-int/9904008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "895222a7-b308-4496-be13-e191d8360478",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}