Spacetime modulation in floating thin elastic plates

We consider the propagation of flexural-gravity waves in thin elastic plates floating atop nonviscous fluids, e.g., seawater, which are governed by a partial differential equation with Laplacian and tri-Laplacian terms. investigate effect time modulation as well spacetime on show peculiarity phenomena $k$-band gap rotated context waves. This makes possible nonreciprocal features behaving elastodynamic analogs luminal electromagnetic metamaterials, exotic applications enhanced control ocean waves, such filtering devices, unidirectional acoustic propagation, isolation effects energy harvesting maritime engineering.