Computational and numerical simulations of the wave propagation in nonlinear media with dispersion processes

Author:

Yue Chen1,Higazy M.2,Khater Omnia M. A.3,Khater Mostafa M. A.45ORCID

Affiliation:

1. 1Department of Financial Mathematics, School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu 212013, People;s Republic of China

2. Department of Mathematics, College of Science, Taif University 2 , P. O. Box 11099, Taif 21944, Saudi Arabia

3. Department of Basic Science, Zagazig Higher Institute of Engineering and Technology 3 , Zagazig, Egypt

4. School of Medical Informatics and Engineering, Xuzhou Medical University 4 , 209 Tongshan Road, 221004 Xuzhou, Jiangsu Province, People’s Republic of China

5. Department of Basic Science, Obour High Institute for Engineering and Technology 5 , 11828 Cairo, Egypt

Abstract

In partial differential equations, the generalized modified equal-width (GMEW) equation is commonly used to model one-dimensional wave propagation in nonlinear media with dispersion processes. In this article, we use two modern, accurate analytical and numerical techniques to find the exact traveling wave solutions for the model we are looking at. The results are new, and at present, they can be used in many different areas of research, such as engineering and physics. The proposed numerical method is helpful because it gives an estimate on the accuracy of the solutions. Distinct graphs, such as a contour plot, a two-dimensional graph, and a three-dimensional graph, were used to show the analytical and numerical results. Using symbolic computation, we demonstrate that our approach is a powerful mathematical tool that can be applied to a wide range of nonlinear wave problems.

Funder

Taif University

Publisher

AIP Publishing

Subject

General Physics and Astronomy

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3