Dynamical behavior of solitons of the (2+1)-dimensional Konopelchenko Dubrovsky system

Utilizing nonlinear evolution equations (NEEs) is common practice to establish the fundamental assumptions underlying natural phenomena. This paper examines the weakly dispersed non-linear waves in mathematical physics represented by the Konopelchenko-Dubrovsky (KD) equations. The ( G ′ / G 2 ) -exp...

Full description

Saved in:
Bibliographic Details
Published in:Scientific reports 2024-01, Vol.14 (1), p.147-147, Article 147
Main Authors: Hussain, A., Parveen, T., Younis, B. A., Ahamd, Huda U. M., Ibrahim, T. F., Sallah, Mohammed
Format: Article
Language:English
Subjects:
639/166
639/624
639/705
639/766
Applied mathematics
Humanities and Social Sciences
multidisciplinary
Ordinary differential equations
Physics
Science
Science (multidisciplinary)
Solitary waves
Variables
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:Utilizing nonlinear evolution equations (NEEs) is common practice to establish the fundamental assumptions underlying natural phenomena. This paper examines the weakly dispersed non-linear waves in mathematical physics represented by the Konopelchenko-Dubrovsky (KD) equations. The ( G ′ / G 2 ) -expansion method is used to analyze the model under consideration. Using symbolic computations, the ( G ′ / G 2 ) -expansion method is used to produce solitary waves and soliton solutions to the ( 2 + 1 ) -dimensional KD model in terms of trigonometric, hyperbolic, and rational functions. Mathematica simulations are displayed using two, three, and density plots to demonstrate the obtained solitary wave solutions’ behavior. These proposed solutions have not been documented in the existing literature.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-023-46593-z