Some Novel Solutions of the Coupled Whitham-Broer-Kaup Equations

Abstract

The shallow water equations provide a vast range of applications in the ocean, atmospheric modeling, and pneumatic computing, which can also be utilized to modeling flows in rivers and coastal areas. The Bernoulli sub-equation function method is utilized to build the analytic solutions of the (1+1) dimensional coupled Whitham-Broer-Kaup (WBK) equations. This partial differential equation model is translated into ordinary differential equations in order to construct new exponential prototype structures. As a result, the novel results are obtained and then plotted in 3D and 2D surfaces.