Nonlinear dynamic behaviors of the generalized (3+1)‐dimensional KP equation

Abstract Under investigation in this article is a generalized (3+1)‐dimensional Kadomtsev–Petviashvili (KP) equation, which usually used to describe nonlinear phenomena fluid dynamics. First, multiple waves solutions of considered equation by means the linear superposition principle are constructed. Second, parameters model control being investigated. We find that mainly affect wave shapes, amplitude, and bright/dark nature. Third, we apply polynomial function construct rational rogue when contain equal zero nonzero, respectively. Finally, obtained results demonstrated graphically illustrate dynamics behaviors multiple, rational, mechanics.