Surface tension stabilizes the modulational instability of large-amplitude gravity-capillary waves at smaller values than weakly nonlinear theory predicts, with nonmonotonic dependence on tension.
The solution space for steadily travelling gravity waves is shown in figure 1
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On the stability of large-amplitude gravity-capillary surface waves
Surface tension stabilizes the modulational instability of large-amplitude gravity-capillary waves at smaller values than weakly nonlinear theory predicts, with nonmonotonic dependence on tension.