{
  "abstract": "In the present work we propose an analytic method that leads to ellipsoidal waves in closed form. This is achieved by reducing 4D ellipsoidal harmonics to 3D ellipsoidal waves via appropriately replacing one of the 4D ellipsoidal coordinates with the time variable. The method is demonstrated in the case of a low-degree harmonic.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Chemical Engineering, University of Patras, 26504 Patras, Greece",
    "Academy of Athens, 11527 Athens, Greece"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "George Dassios"
    },
    {
      "affs": [
        0
      ],
      "name": "George Fragoyiannis",
      "orcid": "0000-0002-8879-5041"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4hb6g8v9htm85.bib",
  "cited_by": 0,
  "doi": "10.3390/math14203767",
  "fulltext_url": null,
  "id": "4hb6g8v9htm85",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/20/3767",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2604|Mathematical functions and polynomials"
    ]
  ],
  "openalex": "W7222967712",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/4hb6g8v9htm85.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14203767",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/20/3767"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Mathematical functions and polynomials",
      "subfield": "general"
    }
  ],
  "title": "Ellipsoidal Waves in Closed Form",
  "title_text": "Ellipsoidal Waves in Closed Form",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/4hb6g8v9htm85",
  "venue": "Mathematics",
  "versions": []
}