{
  "annotation_id": "d6b0de31-cbcb-492b-b980-52ef55ebf4c0",
  "date_created": "2026-03-02T18:02:50.706000Z",
  "date_modified": "2026-03-02T18:02:50.706000Z",
  "file_hash": "8b3f98e29794cbed028a33690ade17f841e8424edfb89cfbb22569c618f52d9f",
  "private": false,
  "record": {
    "abstract": "We investigate the presence of soliton solutions in some classes of nonlinear\npartial differential equations, namely generalized Korteweg-de Vries-Burgers,\nKorteveg-de Vries-Huxley, and Korteveg-de Vries-Burgers-Huxley equations, which\ncombine effects of diffusion, dispersion, and nonlinearity. We emphasize the\nchiral behavior of the travelling solutions, whose velocities are determined by\nthe parameters that define the equation. For some appropriate choices, we show\nthat these equations can be mapped onto equations of motion of relativistic 1+1\ndimensional phi^{4} and phi^{6} field theories of real scalar fields. We also\nstudy systems of two coupled nonlinear equations of the types mentioned.",
    "arxiv_id": "solv-int/9804017",
    "authors": [
      "D. Bazeia",
      "E. P. Raposo"
    ],
    "categories": [
      "solv-int",
      "cond-mat",
      "hep-th",
      "nlin.SI"
    ],
    "title": "Travelling Wave Solutions in Nonlinear Diffusive and Dispersive Media",
    "url": "https://arxiv.org/abs/solv-int/9804017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0b21636a-75cd-4d5e-b2fc-0518588821d3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}