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

doi:10.1088/1674-1056/ada43b

中国物理B ›› 2025, Vol. 34 ›› Issue (3): 30501-030501.doi: 10.1088/1674-1056/ada43b

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

Hengchun Hu(胡恒春)† and Xu Xu(徐旭)

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

收稿日期:2024-11-12 接受日期:2024-12-31 出版日期:2025-03-15 发布日期:2025-03-15
通讯作者: Hengchun Hu E-mail:hhengchun@163.com

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

Hengchun Hu(胡恒春)† and Xu Xu(徐旭)

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2024-11-12 Accepted:2024-12-31 Online:2025-03-15 Published:2025-03-15
Contact: Hengchun Hu E-mail:hhengchun@163.com

摘要/Abstract

摘要： 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.

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

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.

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

中图分类号: (Solitons)

05.45.Yv

02.30.Ik (Integrable systems) 02.30.Jr (Partial differential equations)

Hengchun Hu(胡恒春) and Xu Xu(徐旭). Abundant invariant solutions of (3+1)-dimensional combined pKP-BKP equation[J]. 中国物理B, 2025, 34(3): 30501-030501.

Hengchun Hu(胡恒春) and Xu Xu(徐旭). Abundant invariant solutions of (3+1)-dimensional combined pKP-BKP equation[J]. Chin. Phys. B, 2025, 34(3): 30501-030501.

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