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https://hdl.handle.net/1959.11/53072
Title: | Analysis of travelling wave solutions of double dispersive sharma-Tasso-Olver equation |
Contributor(s): | Kamruzzaman, Khan (author); Koppelaar, Henk (author); Akbar, M Ali (author); Mohyud-Din, Syed Tauseef (author) |
Early Online Version: | 2022-03-23 |
Open Access: | Yes |
DOI: | 10.1016/j.joes.2022.03.018 |
Handle Link: | https://hdl.handle.net/1959.11/53072 |
Abstract: | | Travelling wave solutions have been played a vital role in demonstrating the wave character of nonlinear problems arising in the field of ocean engineering and sciences. To describe the propagation of the nonlinear wave phenomenon in the ocean (for example, wind waves, tsunami waves), a variety of evolution equations have been suggested and investigated in the existing literature. This paper studies the dynamic of travelling periodic and solitary wave behavior of a double-dispersive non-linear evolution equation, named the Sharma-Tasso-Olver (STO) equation. Nonlinear evolution equations with double dispersion enable us to describe nonlinear wave propagation in the ocean, hyperplastic rods and other mediums in the field of science and engineering. We analyze the wave solutions of this model using a combination of numerical simulations and Ansatz techniques. Our analysis shows that the travelling wave solutions involve a range of parameters that displays important and very interesting properties of the wave phenomena. The relevance of the parameters in the travelling wave solutions is also discussed. By simulating numerically, we demonstrate how parameters in the solutions influence the phase speed as well as the travelling and solitary waves. Furthermore, we discuss instantaneous streamline patterns among the obtained solutions to explore the local direction of the components of the obtained solitary wave solutions at each point in the coordinate (x, t).
Publication Type: | Journal Article |
Source of Publication: | Journal of Ocean Engineering and Science, p. 1-14 |
Publisher: | Shanghai Jiaotong University |
Place of Publication: | China |
ISSN: | 2468-0133 |
Fields of Research (FoR) 2020: | 510301 Acoustics and acoustical devices; waves |
Socio-Economic Objective (SEO) 2020: | 280118 Expanding knowledge in the mathematical sciences |
Peer Reviewed: | Yes |
HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
Appears in Collections: | Journal Article School of Science and Technology
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