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.
Concus, Standing capillary-gravity waves of finite am- plitude, Journal of Fluid Mechanics 14 (1962) 568–576
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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.