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

doi:10.1088/1674-1056/acb91c

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.

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

Received: 08 December 2022
Revised: 16 January 2023
Accepted manuscript online: 06 February 2023

PACS:	02.30.Jr	(Partial differential equations)
	02.70.Wz	(Symbolic computation (computer algebra))
	04.20.Jb	(Exact solutions)
	04.30.Nk	(Wave propagation and interactions)

Corresponding Authors: Hongcai Ma, Xue Mao
E-mail: hongcaima@hotmail.com;maoxue990420@163.com

Cite this article:

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 2023 Chin. Phys. B 32 060201

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

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