Steady capillary-gravity waves on the interface of a two-layer fluid over an obstruction-forced modified KdV equation (Q1329827)

The objective is to study two-dimensional steady capillary-gravity waves on the interface between two immiscible, inviscid and incompressible fluids of constant but different densities bounded by two horizontal rigid boundaries with small symmetric obstructions of compact support at lower and upper boundaries. By a unified asymptotic method, a forced modified KdV equation is derived, and new types of steady solutions are discovered. Numerical results on various solutions are also presented.