{
  "annotation_id": "51e5a6fe-f0d5-425c-be94-d6fbb64aae50",
  "date_created": "2026-03-02T18:00:28.670000Z",
  "date_modified": "2026-03-02T18:00:28.670000Z",
  "file_hash": "090db9b184a573fab4068a435625e7dfb025bf2b1b3547f2fe1a479105665e1a",
  "private": false,
  "record": {
    "abstract": "The nonlinear Klein-Gordon equation with a different potential that satisfies\nthe degeneracy properties discussed in this paper possesses solitonic solutions\nthat interact with long-range forces. We generalize the Ginzburg-Landau\nequation in such a way that the topological defects supported by this equation\npresent long-range interaction both in D = 1 and D \u003e 1. Finally, we construct a\nsystem of two equations with two complex order parameters in such a way that\nthe interaction forces between the topological defects decay so slowly that the\nsystem enters the nonextensivity regime.",
    "arxiv_id": "patt-sol/9905010",
    "authors": [
      "L. E. Guerrero",
      "J. A. Gonzalez"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1016/S0378-4371(98)00165-4",
    "journal_ref": "Physica A 257, 390 (1998)",
    "title": "Long-range interacting solitons: pattern formation and nonextensive   thermostatistics",
    "url": "https://arxiv.org/abs/patt-sol/9905010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9b387ebe-fbdc-4458-b09b-c57244dd1d8f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}