{
  "annotation_id": "6fba693d-0b36-44c4-a734-f7406c15a590",
  "date_created": "2026-03-02T18:02:51.400000Z",
  "date_modified": "2026-03-02T18:02:51.400000Z",
  "file_hash": "f6079c7adbb91154c4559b36c82ab965833b16c7df7fa8f547efc5a1185bba61",
  "private": false,
  "record": {
    "abstract": "In this paper, two methods are employed to investigate for which values of\nthe parameters, if any, the two-dimensional real Landau-Ginzburg equation\npossesses the Painleve property. For an ordinary differential equation to have\nthe Painleve property all of its solutions must be meromorphic but for partial\ndifferential equations there are two inequivalent definitions, one a direct\ninvestigation of a Laurent series expansion and the other indirect and relying\non a knowledge of the continuous symmetry group of the equation. We check both\nmethods for the Landau-Ginzburg equation in 2+1 dimensions and each one yields\nthat this equation does not possess the Painleve property for any values of the\nparameters.",
    "arxiv_id": "solv-int/9604002",
    "authors": [
      "Daniel Stubbs"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Analytic Structure of the Landau-Ginzburg Equation in 2+1 Dimensions",
    "url": "https://arxiv.org/abs/solv-int/9604002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c44f3124-1ba6-4ac6-8d05-1405ebe81381",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}