{
  "annotation_id": "4f6e42b8-47bf-43b2-90b5-024510162521",
  "date_created": "2026-03-02T18:00:28.658000Z",
  "date_modified": "2026-03-02T18:00:28.658000Z",
  "file_hash": "3222d20a22b21967c75aa3977df0e74db8248b5021261e0f00249fd4aff0f2c9",
  "private": false,
  "record": {
    "abstract": "A parametrically forced sine-Gordon equation with a fast periodic {\\em\nmean-zero} forcing is considered. It is shown that $\\pi$-kinks represent a\nclass of solitary-wave solutions of the equation. This result is applied to\nquasi-one-dimensional ferromagnets with an easy plane anisotropy, in a rapidly\noscillating magnetic field. In this case the $\\pi$-kink solution we have\nintroduced corresponds to the uniform ``true\u0027\u0027 domain wall motion, since the\nmagnetization directions on opposite sides of the wall are anti-parallel. In\ncontrast to previous work, no additional anisotropy is required to obtain a\ntrue domain wall. Numerical simulations showed good qualitative agreement with\nthe theory.",
    "arxiv_id": "patt-sol/9809008",
    "authors": [
      "Vadim Zharnitsky",
      "Igor Mitkov",
      "Mark Levi"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevB.57.5033",
    "journal_ref": "Physical Review B, V. 57, No. 9, 5033 (1998)",
    "title": "Parametrically forced sine-Gordon equation and domain walls dynamics in   ferromagnets",
    "url": "https://arxiv.org/abs/patt-sol/9809008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "99319fa4-b37c-4505-92fb-aaa70eb36801",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}