Interaction solutions for the second extended (3+1)-dimensional Jimbo-Miwa equation

doi:10.1088/1674-1056/acb91c

中国物理B ›› 2023, Vol. 32 ›› Issue (6): 60201-060201.doi: 10.1088/1674-1056/acb91c

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Interaction solutions for the second extended (3+1)-dimensional Jimbo-Miwa equation

Hongcai Ma(马红彩)^†, Xue Mao(毛雪)^‡, and Aiping Deng(邓爱平)

Department of Applied Mathematics, Donghua University, Shanghai 201620, China

收稿日期:2022-12-08 修回日期:2023-01-16 接受日期:2023-02-06 出版日期:2023-05-17 发布日期:2023-05-24
通讯作者: Hongcai Ma, Xue Mao E-mail:hongcaima@hotmail.com;maoxue990420@163.com

Interaction solutions for the second extended (3+1)-dimensional Jimbo-Miwa equation

Hongcai Ma(马红彩)^†, Xue Mao(毛雪)^‡, and Aiping Deng(邓爱平)

Department of Applied Mathematics, Donghua University, Shanghai 201620, China

Received:2022-12-08 Revised:2023-01-16 Accepted:2023-02-06 Online:2023-05-17 Published:2023-05-24
Contact: Hongcai Ma, Xue Mao E-mail:hongcaima@hotmail.com;maoxue990420@163.com

摘要/Abstract

摘要： Based on the Hirota bilinear method, the second extended (3+1)-dimensional Jimbo-Miwa equation is established. By Maple symbolic calculation, lump and lump-kink soliton solutions are obtained. The interaction solutions between the lump and multi-kink soliton, and the interaction between the lump and triangular periodic soliton are derived by combining a multi-exponential function or trigonometric sine and cosine functions with quadratic functions. Furthermore, periodic-lump wave solution is derived via the ansatz including hyperbolic and trigonometric functions. Finally, 3D plots, 2D curves, density plots, and contour plots with particular choices of the suitable parameters are depicted to illustrate the dynamical features of these solutions.

关键词: Hirota bilinear method, second extended (3+1)-dimensional Jimbo-Miwa equation, lump solution, interaction solution

Abstract: Based on the Hirota bilinear method, the second extended (3+1)-dimensional Jimbo-Miwa equation is established. By Maple symbolic calculation, lump and lump-kink soliton solutions are obtained. The interaction solutions between the lump and multi-kink soliton, and the interaction between the lump and triangular periodic soliton are derived by combining a multi-exponential function or trigonometric sine and cosine functions with quadratic functions. Furthermore, periodic-lump wave solution is derived via the ansatz including hyperbolic and trigonometric functions. Finally, 3D plots, 2D curves, density plots, and contour plots with particular choices of the suitable parameters are depicted to illustrate the dynamical features of these solutions.

Key words: Hirota bilinear method, second extended (3+1)-dimensional Jimbo-Miwa equation, lump solution, interaction solution

中图分类号: (Partial differential equations)

02.30.Jr

02.70.Wz (Symbolic computation (computer algebra)) 04.20.Jb (Exact solutions) 04.30.Nk (Wave propagation and interactions)

Hongcai Ma(马红彩), Xue Mao(毛雪), and Aiping Deng(邓爱平). Interaction solutions for the second extended (3+1)-dimensional Jimbo-Miwa equation[J]. 中国物理B, 2023, 32(6): 60201-060201.

Hongcai Ma(马红彩), Xue Mao(毛雪), and Aiping Deng(邓爱平). Interaction solutions for the second extended (3+1)-dimensional Jimbo-Miwa equation[J]. Chin. Phys. B, 2023, 32(6): 60201-060201.

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Interaction solutions for the second extended (3+1)-dimensional Jimbo-Miwa equation

Interaction solutions for the second extended (3+1)-dimensional Jimbo-Miwa equation

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