Analysis of Time-Fractional Semi-Analytical Solutions of Strong Interacting Internal Waves in Rotating Ocean

Abstract

In this paper, time-fractional Gardner’s Ostrovsky equation is considered which represents the shallow water wave phenomena of strong interacting internal Waves with rotational effects. Using the novel perturbation technique, we found the semi-analytical solutions of such obscure phenomena for the rotational parameters introduced in fractional time domain. The Homotopy Perturbation Method is implemented in conjunction with Laplace transformation. Caputo’s time fractional derivative has been used to obtain the upcoming solutions on the basis of all previous backgrounds.