Abstract
An extension of earlier computations on deep-water gravity wave instabilities up to a wave steepness of 0.434 is performed to compare the relative strength of class I versus class II instabilities. The three-dimensional class II, m=1 instabilities are still predominant. However, as the steepness increases, the difference between the growth rates of two-dimensional and three-dimensional perturbations decreases rapidly and becomes negligible around a 0.43 wave steepness.
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