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Peer-reviewedCC BY 4.0Mathematics

Ellipsoidal Waves in Closed Form

  • George Dassios1,2
  • George Fragoyiannis1
  1. 1Department of Chemical Engineering, University of Patras, 26504 Patras, Greece
  2. 2Academy of Athens, 11527 Athens, Greece
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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.

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Cite

BibTeXRIS
BibTeX
@article{dassios2026ellipsoidal,
  title = {{Ellipsoidal Waves in Closed Form}},
  author = {George Dassios and George Fragoyiannis},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14203767},
  url = {https://www.mdpi.com/2227-7390/14/20/3767},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Ellipsoidal Waves in Closed Form
AU  - George Dassios
AU  - George Fragoyiannis
PY  - 2026
DA  - 2026/10/17
JO  - Mathematics
DO  - 10.3390/math14203767
UR  - https://www.mdpi.com/2227-7390/14/20/3767
AB  - 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.
SN  - 2227-7390
ER  -