Construction of lump-type and interaction solutions to an extended (3+1)-dimensional Jimbo–Miwa-like equation-Reference-Cited by-同舟云学术

Construction of lump-type and interaction solutions to an extended (3+1)-dimensional Jimbo–Miwa-like equation

Published:2020-02-19 Issue:13 Volume:34 Page:2050130
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Qi Feng-Hua¹²^ORCID,Ma Wen-Xiu³⁴²⁵⁶,Wang Pan⁷,Qu Qi-Xing⁸

Affiliation:

1. School of Information, Beijing Wuzi University, Beijing 101149, China

2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA

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

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

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

6. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, China

7. Sports Business School, Beijing Sport University, Beijing 100084, China

8. School of Information, University of International Business and Economics, Beijing 100029, China

Abstract

We present lump-type solutions and interaction solutions to an extended (3[Formula: see text]+[Formula: see text]1)-dimensional Jimbo–Miwa-like equation. Three classes of lump-type solutions are obtained by the Hirota bilinear method. Interaction solutions are among lump-type solutions, two kink waves and periodic waves, and between two kink waves and a periodic wave are computed. Dynamical characters of the obtained solutions are graphically exhibited. These wave solutions enrich the dynamical theory of higher-dimensional nonlinear dispersive wave equations.

Funder

National Natural Science Foundation of China

State Scholarship Fund of China, Beijing Social Science Foundation

Municipal University's High-level Innovation Team Construction Project

National Science Foundation

Beijing Philosophy and Social Sciences Planning Project

UIBE Excellent Young Scholar Project

Fundamental Research Funds for the Central Universities in UIBE

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics