The effect of interaction of large amplitude wave on sea with its application

Abstract

In this paper we attempt to analyse the higher order deterministic wave equations. This study will concerns on the third order term of the same Stoke’s expansion for wave profile and velocity potential. The wave steepness parameter will be introduced in the expansion. This is preferred because, steepness parameter estimates the vertical asymmetry of the sea-surface elevation. It also enhances the convergence of the Stoke’s expansion. Approximate rogue wave solutions of the equation are presented and discussed. Numerical implications on wave crest height and trough depth will be better understood.

Key words: deterministic wave equations, rogue waves, wave profile