New analytic wave solutions to (2 + 1)-dimensional Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation using the modified extended mapping method.

In this study, the (2 + 1)-dimensional Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation (KP-BBME) is examined. KP-BBM is used as a water wave model to mimic the wave propagation for fluid flows and to describe bidirectional propagating water wave surface. Studying is conducted by applying the modified extended mapping method to construct various and novel solutions for the proposed model. These solutions including {dark, bright, and singular} solitons, Weierstrass elliptic, exponential and singular periodic solutions. The extracted solutions confirmed the efficacy and strength of the current technique. To illustrate the physical characteristics of the established solutions, 3D, 2D and contour plots are depicted for many selected solutions. [ABSTRACT FROM AUTHOR]