Author(s)

Meiyu Li¹, Sudao Bilige^1*, Runfa Zhang², Lihui Han¹

¹Department of Mathematics, Inner Mongolia University of Technology, Hohhot, China.
²School of Software Technology, Dalian University of Technology, Dalian, China.

Based on the generalized bilinear method, diversity of exact solutions of the (3 + 1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation is successfully derived by using symbolic computation with Maple. These new solutions, named three-wave solutions and periodic wave have greatly enriched the existing literature. Via the three-dimensional images, density images and contour plots, the physical characteristics of these waves are well described. The new three-wave solutions and periodic solitary wave solutions obtained in this paper, will have a wide range of applications in the fields of physics and mechanics.

KPB-Like Equation, Generalized Bilinear Form, New Three-Wave Solutions, New Periodic Wave

Li, M. , Bilige, S. , Zhang, R. and Han, L. (2020) Diversity of New Three-Wave Solutions and New Periodic Waves for the (3 + 1)-Dimensional Kadomtsev-Petviashvili-Boussinesq-Like Equation. Journal of Applied Mathematics and Physics, 8, 2142-2156. doi: 10.4236/jamp.2020.810160.