Propagation of lump-type waves in nonlinear shallow water wave-Reference-Cited by-同舟云学术

Propagation of lump-type waves in nonlinear shallow water wave

Published:2023 Issue:11 Volume:20 Page:19553-19564
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Guan Hong-Yang¹,Liu Jian-Guo²

Affiliation:

1. Department of Information Engineering, Liaoning University of Traditional Chinese Medicine, Shenyang 110847, China

2. College of Computer, Jiangxi University of Chinese Medicine, Jiangxi 330004, China

Abstract

<abstract><p>In this work, a new extended shallow water wave equation in (3+1) dimensions was studied, which represents abundant physical meaning in a nonlinear shallow water wave. We discussed the interaction between a lump wave and a single solitary wave, which is an inelastic collision. Further, the interaction between a lump wave and two solitary waves and the interaction between a lump wave and a periodic wave was also studied using the Hirota bilinear method. Finally, the interaction among lump, periodic and one solitary wave was investigated. The dynamic properties of the obtained results are shown and analyzed by some three-dimensional images.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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