ABSTRACT
The influence of cubic nonlinear effects on the shape and amplitude of extreme waves is studied. As an example of these waves, resonant waves are considered. The resonators existing in engineering and Nature are modeled as closed and half-open resonators.
The study of extreme resonant waves is a difficult problem. Therefore, the experimental data of Chester’s [8] and Natanzon’s [36,93] studies were used as tests. We discussed these data and used them earlier when studying quadratic effects, but the correlation with experimental data becomes especially important when strongly nonlinear effects are considered.
During Natanzon’s experiments, the water column was excited by the piston oscillating at its down end (see Figures 3.8 and 5.8). Figure 5.1 summarizes some results of experimental and analytic investigations presented in [36,19,93]. The amplitude–frequency curves were measured for the tube length L = 3.7 m. The forced amplitude was 0.0011 or 0.002 m (Figure 5.1)
