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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.
Compelli, A. (2017). Solitary wave solution of flat surface internal geophysical waves with vorticity. AIP Conference Proceedings, Home > AIP Conference Proceedings, > vol. 1895, no. 1. doi:10.1063/1.5007369