{
  "annotation_id": "d9e99758-32ed-4f12-9d4a-2633cc3775c6",
  "date_created": "2026-03-02T18:00:29.223000Z",
  "date_modified": "2026-03-02T18:00:29.223000Z",
  "file_hash": "5973733738889e0cbede8e7f354d0d166eca4e78dc56182a534abbe901a91539",
  "private": false,
  "record": {
    "abstract": "We develop {\\em the first analytical theory of multikinks} for strongly {\\em\ndispersive nonlinear systems}, considering the examples of the weakly discrete\nsine-Gordon model and the generalized Frenkel-Kontorova model with a piecewise\nparabolic potential. We reveal that there are no $2\\pi$-kinks for this model,\nbut there exist {\\em discrete sets} of $2\\pi N$-kinks for all N\u003e1. We also show\ntheir bifurcation structure in driven damped systems.",
    "arxiv_id": "patt-sol/9911006",
    "authors": [
      "Alan Champneys",
      "Yuri S. Kivshar"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.61.2551",
    "title": "Origin of Multikinks in Dispersive Nonlinear Systems",
    "url": "https://arxiv.org/abs/patt-sol/9911006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "98523f57-cd11-4c65-a5fb-31cfc5a23572",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}