{
  "annotation_id": "4c77cbd4-f015-495d-87ce-05007036f201",
  "date_created": "2026-03-02T18:02:51.405000Z",
  "date_modified": "2026-03-02T18:02:51.405000Z",
  "file_hash": "367f8c48a312f28613f28bfd1efb643c0c33af30a14ee4a45c6b1ca5870a0d48",
  "private": false,
  "record": {
    "abstract": "Some explicit traveling wave solutions to a Kolmogorov-Petrovskii-Piskunov\nequation are presented through two ans\\\"atze. By a Cole-Hopf transformation,\nthis Kolmogorov-Petrovskii-Piskunov equation is also written as a bilinear\nequation and further two solutions to describe nonlinear interaction of\ntraveling waves are generated. B\\\"acklund transformations of the linear form\nand some special cases are considered.",
    "arxiv_id": "solv-int/9511005",
    "authors": [
      "Wen-Xiu Ma",
      "Benno Fuchssteiner"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/0020-7462(95)00064-X",
    "title": "Explicit and Exact Solutions to a Kolmogorov-Petrovskii-Piskunov   Equation",
    "url": "https://arxiv.org/abs/solv-int/9511005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5d86277b-7d62-4362-8c6e-0230bbc23561",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}