Fully nonlinear gravity-capillary solitary waves in a two-fluid system of finite depth

摘要

Large-amplitude waves at the interface between two laminar immisible inviscid streams of different densities and velocities, bounded together in a straight infinite channel are studied, when surface tension and gravity are both present. A long-wave approximation is used to develop a theory for fully nonlinear interfacial waves allowing amplitudes as large as the channel thickness. The result is a set of evolution for the interfacial shape and the velocity jump across it. Traveling waves of permanent form are studied and it is shown that solitary waves are possible for a range of physical parameters.