| Abstract: | Wave group is important in ocean wave theory and applications. In the past, nonlinear interaction among wave groups has been
studied on the basis of the nonlinear Schr?dinger equation. Using this theoretical approach, we found that the nonlinear interaction
among wave groups causes asymmetry in the shape of the wave envelope (steeper in the front of the curve of the envelope).
An important consequence of this asymmetry is that the highest wave in a wave group appears one individual wave length ahead
of the center of the wave group. Further results show that the degree of envelope asymmetry increases with increasing spectral
width and the wave steepness. This theoretical analysis has been supplemented by a systematic experimental study of wind waves.
Laboratory and some open sea wave data were analyzed. The results show that the shape of the wind wave envelope of wind waves
has the same asymmetry predicted by the theoretical approach. The observed degree of deformation of the envelope also increases
with increasing spectral width and the wave steepness as predicted by theory. These conclusions have important ramifications
for practical applications of ocean wave theory. |
