Structure and behavior of triad interactions for a Boussinesq system arising in a model for the formation of sand ridges

摘要

The Boussinesq system describes weakly nonlinear dispersive long waves plasmas and incompressible, irrotational fluids. This study presents some results regarding the structure and behavior of a system of equations that yield the spatial structure of triad interactions in the Boussinesq system. Such a system forms part of a model for the formation and evolution of sand ridges on the continental shelf. The aims of this study are to provide some insight into the behavior of the triad system and into the sand ridge model in particular.