{
  "abstract": "We present a new derivation of the exact compact oscillon in the signum-Gordon model using Fourier methods. This approach decomposes the oscillon into an infinite, uniformly convergent series of discrete modes consisting of a fundamental frequency and its odd higher harmonics, in contrast to standard analytic potentials, where the corresponding infinite perturbative series fails to converge. Crucially, our oscillon evades the non-existence theorem for spatially localized, small-amplitude periodic states. We investigate the accuracy of truncating the Fourier series and find that the primary mode alone provides a remarkably accurate approximation of the exact solution, with agreement improving significantly when the first two non-vanishing harmonic modes are included. Furthermore, we generalize this framework to a swaying compact oscillon with a periodically moving boundary. We show that describing such an oscillon requires even-order modes, whose coupling with the odd source terms induces a dynamic modulation that generates the swaying motion, even though the spatial Fourier profiles themselves are time-independent.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10746",
  "author_total": 3,
  "authors": [
    {
      "name": "Pawel Klimas"
    },
    {
      "name": "Leandro Roza Livramento"
    },
    {
      "name": "João Saldanha Streibel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/97cqykhn0yys9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10746",
  "fulltext_url": null,
  "id": "97cqykhn0yys9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.10746",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3109|Nonlinear Waves and Solitons"
    ]
  ],
  "openalex": "W7221162675",
  "pdf_url": "https://arxiv.org/pdf/2610.10746",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/97cqykhn0yys9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2610.10746",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10746"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Fourier analysis of compact oscillons",
  "title_text": "Fourier analysis of compact oscillons",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:54Z",
  "url": "https://research.draconitic.com/paper/97cqykhn0yys9",
  "venue": "arXiv",
  "versions": []
}