Flow over underwater inclination plane using forced Korteweg-de Vries via homotopy analysis method.

A nonhomogeneous forced Korteweg-de Vries (fKdV) equation with some certain forcing term is investigated using a semi-analytic method called Homotopy Analysis Method (HAM). HAM is a summation of infinite series whereby its approximation solution converges immediately to the exact solution. Theoretical model, fKdV incorporating forcing term representing underwater bottom topography is used to analyze the wave interaction patterns over different inclination plane. The relationship between the three underwater sloping regions corresponding to wave interaction patterns are investigated. HAM solution found the higher inclination plane triggers higher amplitude wave interaction patterns. [ABSTRACT FROM AUTHOR]