{
  "annotation_id": "977c72c8-cbb2-473e-ac4c-8c084ebf868f",
  "date_created": "2026-03-02T18:02:51.568000Z",
  "date_modified": "2026-03-02T18:02:51.568000Z",
  "file_hash": "773a7ca072fee09bbf6683880801713ed181ac8ac2aaa1c76e3d3f7a623c2da3",
  "private": false,
  "record": {
    "abstract": "In the previous report (J. Phys. A (1997) 30 4019-4029), I showed that the\nDirac operator defined over a conformal surface immersed in R^3 is identified\nwith the Dirac operator which is generalized the Weierstrass- Enneper equation\nand Lax operator of the modified Novikov-Veselov (MNV) equation. In this\narticle, I determine the Dirac operator defined over a conformal surface\nimmersed in R^4, which is reduced to the Lax operators of the nonlinear\nSchrodinger and the MNV equations by taking appropriate limits. Thus the Dirac\noperator might be the Lax operator of (2+1)- dimensional soliton equation.",
    "arxiv_id": "solv-int/9801006",
    "authors": [
      "Shigeki Matsutani"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Dirac Operator of a Conformal Surface Immersed in R^4: Further   Generalized Weierstrass Relation",
    "url": "https://arxiv.org/abs/solv-int/9801006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d20a82f0-086a-46f1-a8af-149d581fefa3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}