{
  "annotation_id": "cbeaa158-0161-443b-ab31-32d25957c9b7",
  "date_created": "2026-03-02T18:00:28.665000Z",
  "date_modified": "2026-03-02T18:00:28.665000Z",
  "file_hash": "3eeaadf943026cb8ed432d9e8c2cebcdd84eebb0adfa55f37263f0b8040cec27",
  "private": false,
  "record": {
    "abstract": "The concept of soliton complex in a nonlinear dispersive medium is proposed.\nIt is shown that strongly interacting identical topological solitons in the\nmedium can form bound soliton complexes which move without radiation. This\nphenomenon is considered to be universal and applicable to various physical\nsystems. The soliton complex and its \"excited\" states are described\nanalytically and numerically as solutions of nonlinear dispersive equations\nwith the fourth and higher spatial or mixed derivatives. The dispersive\nsine-Gordon, double and triple sine-Gordon, and piecewise-linear models are\nstudied in detail. Mechanisms and conditions of the formation of soliton\ncomplexes, and peculiarities of their stationary dynamics are investigated. A\nphenomenological approach to the description of the complexes and the\nclassification of all the possible complex states are proposed. Some examples\nof physical systems, where the phenomenon can be experimentally observed, are\nbriefly discussed.",
    "arxiv_id": "patt-sol/9902009",
    "authors": [
      "Mikhail M. Bogdan",
      "Arnold M. Kosevich",
      "Gerard A. Maugin"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "title": "Soliton-Complex Dynamics in Strongly Dispersive Medium",
    "url": "https://arxiv.org/abs/patt-sol/9902009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "23edcf72-92fe-4500-83aa-49326b8229de",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}