The general bilinear techniques for studying the propagation of
mixed-type periodic and lump-type solutions in a homogenous-dispersive
medium
Abstract
This paper aims to construct new mixed-type periodic and lump-type
solutions via the dependent variable transformation and the Hirota’s
bilinear form (general bilinear techniques). This study will be
investigated by considering the (3+1)-dimensional generalized B-type
Kadomtsev-Petviashvili equation which describes the weakly dispersive
waves in a homogenous medium in fluid dynamics. The obtained solutions
contain abundant physical structure. Consequently, the dynamical
behaviors of these solutions are graphically discussed for different
choices of the free parameters through 3D- and contour plots.