On the waves in two superposed liquids in the presence of a wall

An exact analysis, based on a simple reduction procedure, is described in this work for finding the linear solution of the normally incident incoming waves in the presence of surface tension (ST) in two liquids, where the liquids are bounded on the left by a rigid vertical wall. Analytical expressions for the velocity potentials in each of the two liquids are obtained here assuming the lower liquid to be of uniform finite depth and the upper liquid to be of uniform finite height.