A (3+1)-dimensional B-type Kadomstev-Petviashvili-Boussinesq Equation: Symmetry Reductions; Group Invariant Solutions; Travelling Wave Solutions; Conservation Laws

Abstract

This article investigates the (3+1)-dimensional BKP-Boussinesq equation which clarifies the propagation of gravity waves on the water surface, especially the frontal collision of oblique wave profiles. As far as we know, this is the first instance where Lie point symmetry analysis, combined with the ansatz method, has been used for this particular equation. It is important to mention that the methods used in this paper produce a distinct set of solutions that differ from the recently reported ones. Furthermore we include the 3D, 2D and density plot as a graphical representation of the constructed exact solution. Lastly, conserved vectors with the help of multiplier method are obtained also for the first time on this underlying equation.