https://doi.org/10.1140/epjp/s13360-023-03902-9
Regular Article
In surface tension; gravity-capillary, magneto-acoustic, and shallow water waves’ propagation
1
School of Medical Informatics and Engineering, Xuzhou Medical University, 209 Tongshan Road, 221004, Xuzhou, Jiangsu Province, China
2
Department of Basic Science, Obour High Institute for Engineering and Technology, 11828, Cairo, Egypt
a mostafa.khater2024@yahoo.com, mostafa.khater2024@xzhmu.edu.cn
Received:
21
September
2022
Accepted:
12
March
2023
Published online:
7
April
2023
The current work attempts to apply an accurate and numerical strategy to obtain analytical and approximation soliton solutions to a significant version of the fifth-order KdV equation (fKdV): the Caudrey-Dodd-Gibbon (CDG) equation. This model describes the propagation of gravity-capillary waves, shallow water waves with surface tension, and magneto-acoustic propagation in plasma. Two recent analytical and numerical methods are applied to construct novel, accurate computational, approximate solutions. The given table provides visual representations of the numerical data that was gathered. In addition, all simulations are shown in 2D and 3D to demonstrate the actual and numerical behavior of the single soliton. The current findings show that the approach is better suited to consistently solving nonlinear equations that arise in mathematical physics.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
