{
  "annotation_id": "0e47ff2f-798a-4245-bbb1-383f42a42a80",
  "date_created": "2026-03-02T18:00:28.664000Z",
  "date_modified": "2026-03-02T18:00:28.664000Z",
  "file_hash": "68e23b16bbc82b8690eda53dc2abb531b48ba122dddf44e209024647082cc673",
  "private": false,
  "record": {
    "abstract": "The dynamics of soliton pulses in the Nonlinear Schrodinger Equation (NLSE)\ndriven by an external Traveling wave is studied analytically and numerically.\nThe Hamiltonian structure of the system is used to show that, in the adiabatic\napproximation for a single soliton, the problem is integrable despite the large\nnumber of degrees of freedom. Fixed points of the system are found, and their\nlinear stability is investigated. The fixed points correspond to a Doppler\nshifted resonance between the external wave and the soliton. The structure and\ntopological changes of the phase space of the soliton parameters as functions\nof the strength of coupling are investigated. A physical derivation of the\ndriven NLSE is given in the context of optical pulse propagation in asymmetric,\ntwin-core optical fibers. The results can be applied to soliton stabilization\nand amplification.",
    "arxiv_id": "patt-sol/9903006",
    "authors": [
      "Gil Cohen"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.61.874",
    "title": "Soliton Interaction with an External Traveling Wave",
    "url": "https://arxiv.org/abs/patt-sol/9903006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5089c98c-fb5a-419c-94e9-3cfe919e6946",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}