Solitary Wave Solution of Flat Surface Internal Geophysical Waves with Vorticity

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.

References in corpus (2)

• Water Waves and Integrability
• Hamiltonian model for coupled surface and internal waves in the presence of currents