Influence of ice compression on components of the velocity of motion of liquid under the ice cover in a traveling periodic flexural gravity wave of finite amplitude

By the method of multiple scales, we obtain (to within the third order of smallness) the asymptotic expansions for the components of the velocity of motion of liquid under a floating ice cover in the process of propagation of periodic surface flexural gravity waves of finite amplitude under the conditions of ice compression. We study the dependences of the distributions of the velocity components along the wave profile on the compressive forces and the parameters of the initial harmonic. It is shown that the amplitude values of the velocity components decrease and the phase shift of oscillations increases as the compressiveforces increase.