Abstract
A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer which is bounded above by a flat surface. The fluids are incompressible and inviscid. A Hamiltonian formulation for the dynamics in the presence of a depth-varying current is presented and it is shown that an appropriate scaling leads to the integrable Benjamin-Ono equation.
Original language | English |
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Pages (from-to) | 4519-4532 |
Number of pages | 14 |
Journal | Discrete and Continuous Dynamical Systems- Series A |
Volume | 39 |
Issue number | 8 |
DOIs | |
Publication status | Published - Aug 2019 |
Keywords
- Currents
- Hamiltonian systems
- Internal waves
- Long waves
- Nonlinear waves
- Solitons