Bottom pressure caused by passage of a solitary wave within the strongly nonlinear Green-Naghdi model

Calculations of the bottom pressure were carried out for the passage of steady periodic and solitary waves within the framework of fully nonlinear Euler equations. Within the framework of these equations, the bottom pressure is related to the oscillations of the sea surface by relatively simple expressions. A remarkable property of the Green-Naghdi set is the existence of the simple form for exact solution in the form of a progressive solitary wave. The Green-Naghdi nonlinear theory describes reasonably well the high-amplitude waves in the coastal zone.