Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 39, Issue 8, Pages 4519-4532Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2019185
Keywords
Internal waves; currents; nonlinear waves; long waves; Hamiltonian systems; solitons
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Funding
- EPSRC [EP/K032208/1]
- SFI [13/CDA/2117]
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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.
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