Nonlinear interaction of internal and acoustic-gravity waves in continuously-stratified ocean

Acoustic and gravity modes are two fundamental solutions of waves induced by oscillations of seafloor in a compressible ocean. Studies of acoustic-gravity waves (AGW) can benefit the early detection of tsunamis because AGW propagate significantly faster than tsunami (the gravity modes), and are expected to be detectable on bottom-pressure records (Stiassnie, 2010). This work investigates the potential nonlinear interaction between internal waves (IW) and acoustic-gravity waves (AGW) in deep ocean. The goal is to formulate the theoretical framework for AGW-generated IW in continuously-stratified fluid over finite depth. The linear dispersion relationship that contains the effects of stratification (for IW) as well as compressibility (for AGW) has been derived. Current effort focuses on the development of nonlinear evolution equation and its numerical implementation