Internal solitary wave propagation over a submarine ridge causes energy dispersion. Under this condition, the hydrodynamic interaction between the wave and ridge affects the oceanographic and marine environment. This study investigates how ridge height and potential energy affect wave-ridge interaction using a cumulative regression model. Three probability functions 1 pˆ , 2 pˆ and 3 pˆ , are utilized to investigate weighted influence of elements on wave reflection. Deviance and Pearson tests are employed to assess the goodness-of-fit of the proposed model and to improve the overdispersion problem. The cumulative logistic regression model demonstrates that bathymetry induced internal wave reflection in a two-layer fluid system is closely associated with ridge height and potential energy.

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