Trapped depression solitary waves for the forced fifth-order forced Korteweg-de Vries equation

. In this work, we investigate numerically trapped depression solitary waves in gravity-capillary flows for the fifth-order forced Korteweg-de Vries equation. We compute depression solitary waves with a single local minimum and three local minima that remain trapped bouncing back and forth between two topographic obstacles for large times. Besides, we study the wave stability of these trapped waves by disturbing their amplitudes. The depression solitary wave with a single local minimum is stable, whereas the one with three local minima splits into several depression solitary waves after a series of rebounds between the obstacles