An analogy is established between standing surface wave oscillations and a mechanical oscillator, yielding a novel Mathieu-like equation for super-harmonic stability that matches numerical solutions in most cases.
Dasgupta, Introduction to interfacial waves - NPTEL lectures by Ratul Dasgupta, IIT Bombay, 2020.https:// www.youtube.com/watch?v=4zjCBIQw8Tc[Accessed: May 13th 2025]
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Free oscillations of a standing surface wave and its mechanical analogue
An analogy is established between standing surface wave oscillations and a mechanical oscillator, yielding a novel Mathieu-like equation for super-harmonic stability that matches numerical solutions in most cases.