Abundant invariant solutions of (3+1)-dimensional combined pKP-BKP equation

doi:10.1088/1674-1056/ada43b

Abstract Lie symmetry analysis is applied to a (3+1)-dimensional combined potential Kadomtsev-Petviashvili equation with B-type Kadomtsev-Petviashvili equation (pKP-BKP equation) and the corresponding similarity reduction equations are obtained with the different infinitesimal generators. Invariant solutions with arbitrary functions and constants for the (3+1)-dimensional pKP-BKP equation, including the lump solution, the periodic-lump solution, the two-kink solution, the breather solution and the lump-two-kink solution, have been studied analytically and graphically.

Keywords: (3+1)-dimensional combined pKP-BKP equation Lie symmetry invariant solutions

Received: 12 November 2024
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	02.30.Ik	(Integrable systems)
	02.30.Jr	(Partial differential equations)

Corresponding Authors: Hengchun Hu
E-mail: hhengchun@163.com

Cite this article:

Hengchun Hu(胡恒春)† and Xu Xu(徐旭) Abundant invariant solutions of (3+1)-dimensional combined pKP-BKP equation 2025 Chin. Phys. B 34 030501

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Abundant invariant solutions of (3+1)-dimensional combined pKP-BKP equation

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