New wave solutions of an integrable dispersive wave equation with a fractional time derivative arising in ocean engineering models

TOZAR A., Kurt A., TAŞBOZAN O.

Kuwait Journal of Science, vol.47, no.2, pp.22-33, 2020 (SCI-Expanded) identifier

  • 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.