Trajectories of Fluid Particles Under an Ice Cover in the Field of a Solitary Bending-Gravity Wave

Abstract

We consider a fluid layer of finite depth described by Euler equations. The ice cover is simulated by a geometrically nonlinear elastic Kirchhoff–Love plate. The trajectories of the fluid particles under the ice cover are found in the field of a nonlinear surface traveling wave rapidly decreasing at infinity. The analysis uses explicit asymptotic expressions for the solutions describing the wave structures of the type of a classical solitary wave with a small but finite amplitude on the water–ice interface Asymptotic solutions for the velocity field generated in the bulk of fluid by these waves are also used.