{
  "annotation_id": "e8ab220b-6817-4224-9a53-e8819256fa55",
  "date_created": "2026-03-02T18:02:51.457000Z",
  "date_modified": "2026-03-02T18:02:51.457000Z",
  "file_hash": "a008402ff2aa914af3200e1bf0af5b2266380d9d5504e6ba64200e844f87e76e",
  "private": false,
  "record": {
    "abstract": "Solutions of equations of geodesic deviation in three- and four- dimensional\nspaces obtained by the inverse scattering transform are considered. It is shown\nthat in the case of three-dimensional space solutions of geodesic deviation\nequations are reduced to solutions of the well-known Zakharov-Shabat problem.\nIn four- dimensional space system of geodesic deviation equations is associated\nwith $3\\times 3$ matrix Schr\\\"{o}dinger equation, and dependence on parameters\ndefined by the nonlinear equations of three-wave interaction.",
    "arxiv_id": "solv-int/9808007",
    "authors": [
      "Vadim V. Varlamov"
    ],
    "categories": [
      "solv-int",
      "gr-qc",
      "nlin.SI"
    ],
    "title": "Equations of Geodesic Deviation and the Inverse Scattering Transform",
    "url": "https://arxiv.org/abs/solv-int/9808007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b66c0742-b215-4992-a783-bb122b302328",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}