Rational solutions to two new KP-like equations

Abstract

In this paper, we will present a new (3+1)-dimensional KP-like nonlinear partial differential equation, and construct the rational solutions to this new (3+1)-dimensional KP-like equation. The proposed method in this work is based on a generalized bilinear differential equation, which implies that we can build the rational solutions to the presented KP-like equation from polynomial solutions to the aforementioned generalized bilinear equation. Moreover, for y=z, this new model reduces to the new (2+1)-dimensional KP-like nonlinear partial differential equation, which will be studied as well herein.