The peaks to trough distributions of nonlinear high sea waves in bi-modal sea states are investigated. The statistical distribution of wave height is firstly investigated by considering the Boccotti’s distribution, where the parameters of the distribution are calculated for some bimodal spectra of sea states recorded in the Atlantic Ocean. The nonlinear crest and trough distributions are then obtained particularizing for two peaked spectra the second-order Fedele & Arena distribution, which depends upon two parameters. The results have been finally validated by means of Monte Carlo simulations of nonlinear random waves with bimodal spectra.

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