Solitary Wave Solution of Flat Surface Internal Geophysical Waves with Vorticity

Alan Compelli

doi:10.1063/1.5007369

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arXiv · 1708.06653

Solitary Wave Solution of Flat Surface Internal Geophysical Waves with Vorticity

Alan Compelli

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Abstract

A fluid system bounded by a flat bottom and a flat surface with an internal wave and depth-dependent current is considered. 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.

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Alan Compelli. 2017-08-22. Solitary Wave Solution of Flat Surface Internal Geophysical Waves with Vorticity. https://doi.org/10.1063/1.5007369

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