Novel interaction phenomena of the (3+1)-dimensional Jimbo–Miwa equation*

doi:10.1088/1572-9494/ab690c

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Communications in Theoretical Physics ›› 2020, Vol. 72 ›› Issue (4): 045001. doi: 10.1088/1572-9494/ab690c

• Mathematical Physics • Next Articles

Novel interaction phenomena of the (3+1)-dimensional Jimbo–Miwa equation^*

Xiaomin Wang,Sudao Bilige()

Department of Mathematics, Inner Mongolia University of Technology, Hohhote, 010051, China

Received: 2019-10-13 Revised: 2020-01-07 Accepted: 2020-01-07 Published: 2020-04-01
Funding Information:
National Natural Science Foundation of China(11661060);Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(NJYT-20-A06);Natural Science Foundation of Inner Mongolia Autonomous Region of China(2018LH01013)

Abstract

Abstract:

In this paper, we give the general interaction solution to the (3+1)-dimensional Jimbo–Miwa equation. The general interaction solution contains the classical interaction solution. As an example, by using the generalized bilinear method and symbolic computation by using Maple software, novel interaction solutions under certain constraints of the (3+1)-dimensional Jimbo–Miwa equation are obtained. Via three-dimensional plots, contour plots and density plots with the help of Maple, the physical characteristics and structures of these waves are described very well. These solutions greatly enrich the exact solutions to the (3+1)-dimensional Jimbo–Miwa equation found in the existing literature.

Key words: generalized bilinear equation, interaction solution, dynamical characteristics, (3+1)-dimensional Jimbo–Miwa equation, symbolic computation

Xiaomin Wang,Sudao Bilige, Commun. Theor. Phys. 72 (2020) 045001.

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Novel interaction phenomena of the (3+1)-dimensional Jimbo–Miwa equation^*

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