Abstract
The nonlinear Schro¨dinger-like equations are widly used models for investigating the evolution of surface gravity waves with narrow-banded spectra. We numerically compare one of these simplified models with a fully nonlinear one. In particular, we study the long time evolution of wave groups. Although the simplified model predicts the right number of soliton formed, their behaviour and long time evolution is not well described. Solitons interact differently with the two models. During the interaction, freak waves are formed. Their occurence is more frequent with the fully nonlinear model. A more interesting phenomemon is, during the formation of freak waves, the wave envelope oscillates rapidly. This “intermittence” is not at all predicted by any weakly nonlinear model.
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