Abstract: Depth averaged Boussinesj equations are usually used as governning equations for the nonlinear water wave motions in shallow water. These equations, however, are not applied in the vicinity of floating bodies or underwater" obstacles, in which the variation of the fluid flow in depth cannot be ignored.By using the method of matched asymptotic expansions and the idea of edge layer, a mathematical model for describing the interaction between weakly nonlinear shallow water waves and three-dimensional floating ...