Localized characteristics of lump and interaction solutions to two extended Jimbo-Miwa equations

doi:10.1088/1674-1056/aba9c4

Abstract We focus on the localized characteristics of lump and interaction solutions to two extended Jimbo-Miwa equations. Based on the Hirota bilinear method and the test function method, we construct the exact solutions to the extended equations including lump solutions, lump-kink solutions, and two other types of interaction solutions, by solving the under-determined nonlinear system of algebraic equations for associated parameters. Finally, analysis and graphical simulation are presented to show the dynamical characteristics of our solutions and the interaction behaviors are revealed.

Keywords: Hirota bilinear method test function method lump solution interaction solution symbolic computation

Received: 31 May 2020
Revised: 12 July 2020
Accepted manuscript online: 28 July 2020

PACS:	05.45.Yv	(Solitons)
	05.30.Jp	(Boson systems)
	02.70.Wz	(Symbolic computation (computer algebra))

Fund: Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 2018RC031), the National Natural Science Foundation of China (Grant No. 71971015), the Program of the Co-Construction with Beijing Municipal Commission of Education of China (Grant Nos. B19H100010 and B18H100040), and the Open Fund of IPOC (BUPT).

Corresponding Authors: ^†Corresponding author. E-mail: xlv@bjtu.edu.cn, xinglv655@aliyun.com

Cite this article:

Yu-Hang Yin(尹宇航), Si-Jia Chen(陈思佳), and Xing Lü(吕兴) Localized characteristics of lump and interaction solutions to two extended Jimbo-Miwa equations 2020 Chin. Phys. B 29 120502

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Localized characteristics of lump and interaction solutions to two extended Jimbo-Miwa equations

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