{
  "abstract": "A spherically symmetric standing wave confined within a finite-radius ball, with weak radiative exchange between its core and boundary, provides a model for an intermediate stage in the adiabatic evolution of the $ϕ^4$ oscillon. We employ a multiscale variational framework to derive an approximate description of these standing waves and their energy-frequency relation. The resulting dispersion curve is compared with that obtained from numerical solutions of the boundary value problem for the $ϕ^4$ equation on a two dimensional (time and radius) domain. The agreement between the numerical and variational results is excellent near the endpoint of the continuous spectrum but deteriorates as $ω$ is reduced below $0.85 ω_0$. We attribute this discrepancy to the growth of the radiation wing, which is neglected in the variational ansatz.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26281",
  "author_total": 5,
  "authors": [
    {
      "name": "I. V. Barashenkov"
    },
    {
      "name": "R. De Sousa"
    },
    {
      "name": "N. V. Alexeeva"
    },
    {
      "name": "A. Dika"
    },
    {
      "name": "E. V. Zemlyanaya"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3w5sr35fdbscq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26281",
  "fulltext_url": null,
  "id": "3w5sr35fdbscq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26281",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "nlin.PS"
    ],
    [
      "openalex",
      "3109|Nonlinear Waves and Solitons"
    ]
  ],
  "openalex": "W7223031042",
  "pdf_url": "https://arxiv.org/pdf/2610.26281",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3w5sr35fdbscq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26281",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26281"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.PS",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Dispersion of three-dimensional oscillons: a standing-wave perspective",
  "title_text": "Dispersion of three-dimensional oscillons: a standing-wave perspective",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/3w5sr35fdbscq",
  "venue": "arXiv",
  "versions": []
}