{
  "annotation_id": "a2f816b0-6bd7-44fb-9461-880ea3eeab04",
  "date_created": "2026-03-02T18:02:51.154000Z",
  "date_modified": "2026-03-02T18:02:51.154000Z",
  "file_hash": "f8fd24fa31902b2d9173794b0415d817bb09b2c3ad6d76c78b4a75a23358bd70",
  "private": false,
  "record": {
    "abstract": "Multi scales method is used to analyze a nonlinear differential-difference\nequation. In order $\\epsilon^3$ the NLS equation is found to determine the\nspace-time evolution of the leading amplitude. In the next order this has to\nsatisfy a complex mKdV equation (the next in the NLS hierarchy) in order to\neliminate secular terms. The zero dispersion point case is also analyzed and\nthe relevant equation is a modified NLS equation with a third order derivative\nterm included",
    "arxiv_id": "solv-int/9910006",
    "authors": [
      "D. Grecu",
      "Anca Visinescu",
      "A. S. Carstea"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Beyond Nonlinear Schr\\\"odinger Equation Approximation for an Anharmonic   Chain with Harmonic Long Range Interaction",
    "url": "https://arxiv.org/abs/solv-int/9910006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5ebab954-d402-46b1-b561-f62624e49bfe",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}