A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is bounded below by a flat bottom and the upper layer is bounded above by a flat surface. The fluids are incompressible and inviscid and Coriolis forces as well as currents are taken into consideration. A Hamiltonian formulation is presented and appropriate scaling leads to a KdV approximation. Additionally, considering the lower layer to be infinitely deep leads to a Benjamin–Ono approximation.
|Original language||English (Ireland)|
|Title of host publication||Nonlinear Water Waves |
|Subtitle of host publication||An Interdisciplinary Interface|
|Publication status||Published - Nov 2019|
|Name||Tutorials, Schools, and Workshops in the Mathematical Sciences |
- Internal waves, Currents, Nonlinear waves, Long waves, Hamiltonian Systems, Solitons