{
  "annotation_id": "87dacd52-2f43-42ee-97fd-14b014c75f68",
  "date_created": "2026-03-02T18:01:53.164000Z",
  "date_modified": "2026-03-02T18:01:53.164000Z",
  "file_hash": "3d408444eab066a61da89c056ac3fc16dba0711951a21648e78086896e7dbea7",
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  "record": {
    "abstract": "In this paper we consider a class of coupled nonlinear Schroedinger equations\nfor the fields $\\psi_i$ containing complex nonlinearities, that has been\nobtained by requiring that the norms $|\\psi_i|^2$ are conserved densities. For\nthis class of equations we introduce a Cole-Hopf like transformation, whose\neffect is to reduce the complex nonlinearities into real ones, this way\nreducing the continuity equations of the system to the standard bilinear form.\nSome examples are presented to illustrate the applicability of the method.\n  Pacs numbers: 03.50.-z, 03.65.-w, 11.30.Na, 11.40.Dw\n  Keywords: Coupled nonlinear Schroedinger equations, Cole-Hopf transformation,\nNonlinear transformations.",
    "arxiv_id": "quant-ph/0210016",
    "authors": [
      "G. Kaniadakis",
      "E. Miraldi",
      "A. M. Scarfone"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0034-4877(02)80019-2",
    "journal_ref": "Rep. Math. Phys. 49, 203 (2002)",
    "title": "Cole-Hopf Like Transformation for a Class of Coupled Nonlinear   Schroedinger Equations",
    "url": "https://arxiv.org/abs/quant-ph/0210016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ac6a7767-83bc-40ea-a2d6-83a0bff211d6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}