New wave solutions of an integrable dispersive wave equation with a fractional time derivative arising in ocean engineering models
Kuwait Journal of Science, vol.47, no.2, pp.22-33, 2020 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 47 Issue: 2
- Publication Date: 2020
- Journal Name: Kuwait Journal of Science
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Arab World Research Source, zbMATH
- Page Numbers: pp.22-33
- Keywords: Camassa-Holm equation, Conformable fractional derivative, new extended direct algebraic method, shallow water waves, wave solutions
- Hatay Mustafa Kemal University Affiliated: Yes
Abstract
The fractional Camassa-Holm equation is generally used as a powerful tool in computer simulations of water waves in shallow water, coastal and harbor models. In this paper, new wave solutions of this equation are obtained by using a new extended direct algebraic method. Thirty-six completely new solutions are obtained and are graphically represented. These solutions may motivate future research on the topic.