TRANSFORMATION OF LONG NONLINEAR WAVES IN A TWO-LaER VISCOUS FLUID BETWEEN A GENTLY SLOPING LID AND BOTTOM

Dynamics of three-dimensional disturbances of the interface between two fluid layers of different densities is considered analytically and numerically. An evolutionary integrodifferential equation is derived, which takes into account long-wave contributions of inertia of the layers and surface tension, small but finite amplitude of disturbances of the interface between two incompressible immiscible fluids, gentle slop( s of the lid and bottom, and nonstationary shear stresses at all boundaries. Numerical solutions of this model equation for several (most typical) nonlinear problems of transformation of twoand three-dimensional waves are obtained.