The results of three-dimensional numerical simulations of the interaction of the plane N-wave propagating at an angle to the free stream in the transverse direction with the sharp and blunted leading edges of the plate in a supersonic flow are presented. Interaction of the N-wave with a weak shock attached to the leading edge of the sharp plate causes corrugation of the shock wave surface that propagates downstream. A steady pressure perturbation is also formed that propagates inside the boundary layer in the transverse direction at an angle close to the Mach angle. This perturbation causes curving of the streamlines in the boundary layer and generation of a quasi-steady vorticity disturbance. In the case of the N-wave impinging on the leading edge of the blunted plate there is a large subsonic zone behind the bow shock where the pronounced oblique directivity of the disturbance transmitted through the shock is declined. Nevertheless, local disturbances of the flow parameters are observed in the boundary layer downstream of the region of the contact of the oblique shocks of the N-wave with the bow shock.