Localized interaction solution and its dynamics of the extended Hirota–Satsuma

Localized interaction solution and its dynamics of the extended Hirota–Satsuma–Ito equation

Published:2021-05-10 Issue:19 Volume:35 Page:2150313
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Yu Jian-Ping¹,Ma Wen-Xiu²³⁴⁵⁶,Khalique Chaudry Masood⁶,Sun Yong-Li⁷^ORCID

Affiliation:

1. Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China

2. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China

3. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

4. School of Mathematics, South China University of Technology, Guangzhou 510640, China

5. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA

6. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa

7. Department of Mathematics, Beijing University of Chemical Technology, Beijing 100029, China

Abstract

In this research, we will introduce and study the localized interaction solutions and their dynamics of the extended Hirota–Satsuma–Ito equation (HSIe), which plays a key role in studying certain complex physical phenomena. By using the Hirota bilinear method, the lump-type solutions will be firstly constructed, which are almost rationally localized in all spatial directions. Then, three kinds of localized interaction solutions will be obtained, respectively. In order to study the dynamic behaviors, numerical simulations are performed. Two interesting physical phenomena are found: one is the fission and fusion phenomena happening during the procedure of their collisions; the other is the rogue wave phenomena triggered by the interaction between a lump-type wave and a soliton wave.

Funder

Innovative Research Group Project of the National Natural Science Foundation of China

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984921503139

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