{
  "annotation_id": "93ef02c8-f505-4fc0-a7cb-a82586ea4b64",
  "date_created": "2026-03-02T18:00:28.660000Z",
  "date_modified": "2026-03-02T18:00:28.660000Z",
  "file_hash": "a879c7439db6a9c1ae8c83ed648ba91531b2b58c1e99b380bdd3111903f6eed5",
  "private": false,
  "record": {
    "abstract": "We demonstrate that a staggered parametric ac driving term can support stable\nprogressive motion of a soliton in a Toda lattice with friction, while an\nunstaggered drivng force cannot. A physical context of the model is that of a\nchain of anharmonically coupled particles adsorbed on a solid surface of a\nfinite size. The ac driving force models a standing acoustic wave excited on\nthe surface. Simulations demonstrate that the state left behind the moving\nsoliton, with the particles shifted from their equilibrium positions, gradually\nrelaxes back to the equilibrium state that existed before the passage of the\nsoliton. Perturbation theory predicts that the ac-driven soliton exists if the\namplitude of the drive exceeds a certain threshold. The analytical prediction\nfor the threshold is in reasonable agreement with that found numerically.\nCollisions between two counter propagating solitons were also simulated,\ndemonstrating that the collisions are, essentially fully elastic.",
    "arxiv_id": "patt-sol/9809006",
    "authors": [
      "K. O. Rasmussen",
      "Boris A. Malomed",
      "A. R. Bishop",
      "Niels Gronbech-Jensen"
    ],
    "categories": [
      "patt-sol",
      "cond-mat.mtrl-sci",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.58.6695",
    "journal_ref": "Phys. Rev. E Vol. 58, Page 6695, (1998)",
    "title": "Soliton motion in a parametrically ac-driven damped Toda lattice",
    "url": "https://arxiv.org/abs/patt-sol/9809006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f09373a2-5e1f-41e1-a69f-86b038a945b6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}