Oscillatory and regularized shock waves for a dissipative Peregrine–Boussinesq system
Oscillatory and regularized shock waves for a dissipative Peregrine–Boussinesq system
Abstract We consider a dissipative, dispersive system of the Boussinesq type, which describes wave phenomena in scenarios where dissipation plays a significant role. Examples include undular bores in rivers or oceans, where turbulence-induced dissipation significantly influences their behavior. In this study, we demonstrate that the proposed system admits traveling wave …