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Physical Sciences and Mathematics Commons

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Mathematics

2017

Conference papers

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Solitary Wave Solution Of Flat Surface Internal Geophysical Waves With Vorticity, Alan Compelli Jan 2017

Solitary Wave Solution Of Flat Surface Internal Geophysical Waves With Vorticity, Alan Compelli

Conference papers

A fluid system bounded by a flat bottom and a flat surface with an internal wave and depth-dependent current is con-sidered. The Hamiltonian of the system is presented and the dynamics of the system are discussed. A long-wave regime is then considered and extended to produce a KdV approximation. Finally, a solitary wave solution is obtained.