Gravity–capillary flows over obstacles for the fifth-order forced Korteweg–de Vries equation

The aim of this work is to investigate gravity–capillary waves resonantly excited by two topographic obstacles in a shallow water channel. By considering the weakly non-linear regime forced fifth-order Korteweg–de Vries equation arises as model for free-surface displacement. surface initially taken at rest over uniform flow and initial value problem computed numerically using pseudospectral method. We study nearly-resonant flows with intermediate capillary effects. Details wave interactions are analysed different sizes. Our numerical results indicate that not necessarily governed larger obstacle.