{
  "annotation_id": "b3740daa-9269-4b8b-9938-8ec6009e6eaf",
  "date_created": "2026-03-02T18:00:28.673000Z",
  "date_modified": "2026-03-02T18:00:28.673000Z",
  "file_hash": "bcd4c1de5c13640034c893117802d72965588504f231f7c7d59f17845ec9b152",
  "private": false,
  "record": {
    "abstract": "In this paper we develop a new approximation method valid for a wide family\nof nonlinear wave equations of Nonlinear Schr\\\"odinger type. The result is a\nreduced set of ordinary differential equations for a finite set of parameters\nmeasuring global properties of the solutions, named momenta. We prove that\nthese equations provide exact results in some relevant cases and show how to\nimpose reasonable approximations that can be regarded as a perturbative\napproach and as an extension of the time dependent variational method.",
    "arxiv_id": "patt-sol/9904006",
    "authors": [
      "J. J. Garcia-Ripoll",
      "V. M. Perez-Garcia"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS",
      "nlin.SI",
      "solv-int"
    ],
    "title": "The moment method in general Nonlinear Schrodinger Equations",
    "url": "https://arxiv.org/abs/patt-sol/9904006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e29b7a1-f2cf-49da-99c3-aa237b495d2a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}