Strong Interacting Internal Waves in Rotating Ocean: Novel Fractional Approach

The main objective of the present study is to analyze the nature and capture the corresponding consequences of the solution obtained for the Gardner-Ostrovsky equation with the help of the q-homotopy analysis transform technique (q-HATT). In the rotating ocean, the considered equations exemplify strong interacting internal waves. The fractional operator employed in the present study is used in order to illustrate its importance in generalizing the models associated with kernel singular. The fixed-point theorem and the Banach space are considered to present the existence and uniqueness within the frame of the Caputo-Fabrizio (CF) fractional operator. Furthermore, for different fractional orders, the nature has been captured in plots. The realized consequences confirm that the considered procedure is reliable and highly methodical for investigating the consequences related to the nonlinear models of both integer and fractional order.

Automated summary

The study analyzes the nature of the Gardner-Ostrovsky equation and its consequences using the q-homotopy analysis transform technique. The importance of the fractional operator in generalizing models associated with kernel singular is illustrated. By considering the Caputo-Fabrizio (CF) fractional operator framework, the existence and uniqueness of solutions are presented using fixed-point theorem and Banach space. The study confirms the reliability and systematic approach of the procedure in investigating consequences related to nonlinear models of both integer and fractional order.