Computational and numerical wave solutions of the Caudrey–Dodd–Gibbon equation

The Caudrey–Dodd–Gibbon (CDG) model, a variation of the fifth–order KdV equation (fKdV) with significant practical consequences, is solved in this study using a precise and numerical technique. This model shows how gravity-capillary waves, shallow–water waves driven by surface tension, and magneto-a...

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Bibliographic Details
Published in:Heliyon 2023-02, Vol.9 (2), p.e13511-e13511, Article e13511
Main Author: Khater, Mostafa M.A.
Format: Article
Language:English
Subjects:
equations
Gravity–capillary waves
Numerical solution
Shallow–water waves
Solitary wave solution
statistical analysis
surface tension
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Summary:The Caudrey–Dodd–Gibbon (CDG) model, a variation of the fifth–order KdV equation (fKdV) with significant practical consequences, is solved in this study using a precise and numerical technique. This model shows how gravity-capillary waves, shallow–water waves driven by surface tension, and magneto-acoustic waves move through a plasma medium. With a focus on accuracy, new computational and approximation methods have been made possible by recent improvements in analytical and numerical methods. Numeric information is represented visually in the tables. All simulation results are shown in two and three dimensions to show both the numerical and fundamental behavior of the single soliton. Recent research shows that this method is the best way to solve nonlinear equations that are common in mathematical physics.
ISSN:2405-8440
2405-8440
DOI:10.1016/j.heliyon.2023.e13511