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1. Research of lump dynamics on the (3+1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation.

Author

Lei, Zhi-Qiang, Liu, Jian-Guo, Rezazadeh, Hadi, Khater, Mostafa M. A., and Inc, Mustafa

Subjects
PARTIAL differential equations, NONLINEAR differential equations, EQUATIONS
Abstract

In this paper, we discuss the interaction of the rational function, hyperbolic as well as exponential function for the (3+1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation with the aid of Hirota's bilinear approach. We find several families of lump-type solutions. This method is a powerful and advantageous mathematical tool for establishing abundant lump solutions of nonlinear partial differential equations. In order to illustrate their dynamic properties, some figures are plotted with determined parameters. [ABSTRACT FROM AUTHOR]

Published
2021
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