The rotated-modified extended kortwed-de vries equation for the description of nonlinear knternal wave transformation in the ocean

摘要

Non-linear effects on oceanic internal waves are seen to manifest themselves in many different regions of the World Ocean, including the Australian North West Shelf (NWS). Observations, for example [2], [6] and [3], show long internal waves ( #lambda# approx 20km) evolving into shocks (bores or internal hydraulic jumps) and as groups of short period waves of soliton-like form. In an attempt to explain the observed evolution of internal waves, a non-linear theory is used, based on a numerical solution to the generalised Korteweg-de Vries (K-dV) equation. The model includes observed ocean stratification and background shear flow varying horizontally over slowly varying water depth and allows for dissipation through a quadratic friction term.