Work

Ellipsoidal Waves in Closed Form

Year: 2026

Type: article

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.

Source: Mathematics

DOI: 10.3390/math14203767

Authors: George Dassios, George Fragoyiannis

Institutions: University of Patras, Academy of Athens

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W7222967712

FWCI:

Cites: 13

Cited by:

Related to: 10