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.
Okamura, Instabilities of weakly nonlinear standing gravity waves, Journal of the Physical Society of Japan 53 (1984) 3788–3796
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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.