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

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. © 2020 University of Kuwait. All rights reserved.