DOI: 10.3390/math14203767 ISSN: 2227-7390

Ellipsoidal Waves in Closed Form

George Dassios, George Fragoyiannis

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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