The phenomenon of wave localization in hydroelastic systems leads to the strength concentration of radiation fields. The linear method considers the process of localization to be the formation of nonpropagation waves (trapped modes phenomenon). The presence of such waves in the total wave packet points to the existance of mixed natural spectrum of differential operators describing the behaviour of hydroelastic systems. The problem of liquid and oscillating structure interaction caused the trapped modes phenomenon has been solved (membranes, dies).
The interaction of the liquid and elastic structures with inclusions can lead to localized mode formation. In this case of the solitary wave motion in the nonlinear elastic media, contacting with the liquid, these solitons can be interpreted as "moving inclusions". The analytical solution for solitary wave has been found.
If soliton speed v0 is greater than the velocity of sound c0 in liquid the solitary waves strongly slow down. If c0 is close to v0 then a resonance can be observed and solitons move without any resistance. If soliton speed is less than c0, the solitary wave slow down is negligible, with comparison to the case v0> c0.
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