Back to Search Start Over

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

Authors :
Yue, Chen
Higazy, M.
Khater, Omnia M. A.
Khater, Mostafa M. A.
Source :
AIP Advances; Mar2023, Vol. 13 Issue 3, p1-10, 10p
Publication Year :
2023

Abstract

In partial differential equations, the generalized modified equal-width (G M E W) 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
21583226
Volume :
13
Issue :
3
Database :
Complementary Index
Journal :
AIP Advances
Publication Type :
Academic Journal
Accession number :
162858092
Full Text :
https://doi.org/10.1063/5.0143256