Wave motion in a gravity field on the free surface and stratification interface of a fluid with stratified inhomogeneity. Nonlinear analysis

Abstract

Regularities of the nonlinear gravitational wave motion in a two-layer density-stratified fluid are investigated for a finite thickness of the upper, lighter, layer. The characteristics of the nonlinear internal resonant interaction of the gravity waves generated by the free surface of the upper layer and the medium interface are considered. It is shown that in second-order calculations both degenerate (two-wave) and secondary combined (three-wave) resonant interactions may be realized.