{
  "annotation_id": "5a7fcc3e-c95b-4ec2-a830-0ea65532ed22",
  "date_created": "2026-03-02T18:00:29.432000Z",
  "date_modified": "2026-03-02T18:00:29.432000Z",
  "file_hash": "2c04921c5b65878a659098b7a6a0255e19662ba42b25ee7da5c3dbdc47957e7d",
  "private": false,
  "record": {
    "abstract": "We present applications of variational-wavelet approach to nonlinear\n(rational) rms envelope equations. We have the solution as a multiresolution\n(multiscales) expansion in the base of compactly supported wavelet basis. We\ngive extension of our results to the cases of periodic beam motion and\narbitrary variable coefficients. Also we consider more flexible variational\nmethod which is based on biorthogonal wavelet approach.",
    "arxiv_id": "physics/0003095",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "physics.acc-ph",
      "math-ph",
      "math.MP",
      "nlin.CD",
      "physics.comp-ph"
    ],
    "doi": "10.1142/9789812792181_0015",
    "title": "Variational-Wavelet Approach to RMS Envelope Equations",
    "url": "https://arxiv.org/abs/physics/0003095"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d68534b-ab59-4441-86d4-d1c65b474773",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}