Multiple-soliton and lump-kink solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation

Abstract

In recent years, searching for analytic solutions to nonlinear evolution equations has become a popular topic. In this paper, a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation is proposed. With the help of symbolic calculation, the multiple-soliton and lump-kink solutions of the equation are obtained in two different ways. Those analytic solutions are presented, and their dynamic properties are discussed through graphical presentation. The final result is helpful for studying the interaction between solitons in nonlinear mathematical physics.

Keywords

• Soliton
• Generalized Kadomtsev-Petviashvili equation
• Multiple-soliton solution
• Lump-kink solution
• Dynamic properties