{
  "annotation_id": "1994dd9c-fbd5-4799-954f-aa3665508518",
  "date_created": "2026-03-02T18:02:50.700000Z",
  "date_modified": "2026-03-02T18:02:50.700000Z",
  "file_hash": "4de5e60f9327718eacd8839bc9dcc981708c2d692e07d638e723347f759e22e6",
  "private": false,
  "record": {
    "abstract": "We describe exact kink soliton solutions to nonlinear partial differential\nequations in the generic form u_{t} + P(u) u_{x} + \\nu u_{xx} + \\delta u_{xxx}\n= A(u), with polynomial functions P(u) and A(u) of u=u(x,t), whose generality\nallows the identification with a number of relevant equations in physics. We\nemphasize the study of chirality of the solutions, and its relation with\ndiffusion, dispersion, and nonlinear effects, as well as its dependence on the\nparity of the polynomials $P(u)$ and $A(u)$ with respect to the discrete\nsymmetry $u\\to-u$. We analyze two types of kink soliton solutions, which are\nalso solutions to 1+1 dimensional phi^{4} and phi^{6} field theories.",
    "arxiv_id": "solv-int/9805008",
    "authors": [
      "E. P. Raposo",
      "D. Bazeia"
    ],
    "categories": [
      "solv-int",
      "cond-mat",
      "hep-th",
      "nlin.SI"
    ],
    "doi": "10.1016/S0375-9601(99)00067-5",
    "title": "Exact Kink Solitons in the Presence of Diffusion, Dispersion, and   Polynomial Nonlinearity",
    "url": "https://arxiv.org/abs/solv-int/9805008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "59cf5ca1-f61d-4788-a437-442367b5d773",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}