TITLE:
Diversity of New Three-Wave Solutions and New Periodic Waves for the (3 + 1)-Dimensional Kadomtsev-Petviashvili-Boussinesq-Like Equation
AUTHORS:
Meiyu Li, Sudao Bilige, Runfa Zhang, Lihui Han
KEYWORDS:
KPB-Like Equation, Generalized Bilinear Form, New Three-Wave Solutions, New Periodic Wave
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.10,
October
20,
2020
ABSTRACT: 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.