Solitary Wave Solution of Flat Surface Internal Geophysical Waves with Vorticity (1708.06653v1)

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.