{
  "annotation_id": "37bfc1ca-da7f-4b7f-8129-fce632dd4301",
  "date_created": "2026-03-02T18:02:50.692000Z",
  "date_modified": "2026-03-02T18:02:50.692000Z",
  "file_hash": "33074b4715a122cd42a231bd73ba4d64def15b9150ac96392a8581c7c8f7ef99",
  "private": false,
  "record": {
    "abstract": "A Dispersive Wave Equation in 2+1 dimensions (2LDW) widely discussed by\ndifferent authors is shown to be nothing but the modified version of the\nGeneralized Dispersive Wave Equation (GLDW). Using Singularity Analysis and\ntechniques based upon the Painleve Property leading to the Double Singular\nManifold Expansion we shall find the Miura Transformation which converts the\n2LDW Equation into the GLDW Equation. Through this Miura Transformation we\nshall also present the Lax pair of the 2LDW Equation as well as some\ninteresting reductions to several already known integrable systems in 1+1\ndimensions.",
    "arxiv_id": "solv-int/9803007",
    "authors": [
      "J. M. Cervero",
      "P. G. Estevez"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1063/1.532421",
    "title": "Miura Transformation between two Non-Linear Equations in 2+1 dimensions",
    "url": "https://arxiv.org/abs/solv-int/9803007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "30d49313-92bf-4896-a21c-55f0aca2fac3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}