{
  "annotation_id": "ceb96a79-c44d-4ce2-b447-df689269b372",
  "date_created": "2026-03-02T18:02:51.524000Z",
  "date_modified": "2026-03-02T18:02:51.524000Z",
  "file_hash": "ebb6a32872d920c95831e9add85167d9dae24506a75177f41c023840cf9c4d25",
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  "record": {
    "abstract": "The purpose of this paper is to present a class of particular solutions of a\nC(2,1) conformally invariant nonlinear Klein-Gordon equation by symmetry\nreduction. Using the subgroups of similitude group reduced ordinary\ndifferential equations of second order and their solutions by a singularity\nanalysis are classified. In particular, it has been shown that whenever they\nhave the Painlev\\\u0027e property, they can be transformed to standard forms by\nMoebius transformations of dependent variable and arbitrary smooth\ntransformations of independent variable whose solutions, depending on the\nvalues of parameters, are expressible in terms of either elementary functions\nor Jacobi elliptic functions.",
    "arxiv_id": "solv-int/9810019",
    "authors": [
      "F. Gungor"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1238/Physica.Regular.061a00385",
    "journal_ref": "Physica Scripta, Vol. 61, 385-390, 2000",
    "title": "Exact Solutions of a (2+1)-Dimensional Nonlinear Klein-Gordon Equation",
    "url": "https://arxiv.org/abs/solv-int/9810019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "77d89188-bec7-4174-a809-acf8815412f1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}