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

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 travelin...

Full description

Saved in:
Bibliographic Details
Published in:AIP advances 2023-03, Vol.13 (3), p.035232-035232-10
Main Authors: Yue, Chen, Higazy, M., Khater, Omnia M. A., Khater, Mostafa M. A.
Format: Article
Language:English
Subjects:
Mathematical models
Numerical methods
Partial differential equations
Traveling waves
Wave propagation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2158-3226
2158-3226
DOI:10.1063/5.0143256