A method has been developed for the approximate analytical description of the properties of acoustic solitary waves that have a large difference between the values of spatial gradients of their parameters along different coordinates. In the presence of two- or three-dimensional nonuniformity of the initial perturbation, these waves maintain their spatial structure unchanged when propagating to large distances and make it possible to regulate pressure drop at the front and the rate of their movement. All of this ensures a wide range of the possibilities of producing special force action or organizing long-distance information exchange. In particular, the sequence of such compression or rarefaction pulses can break up immiscible liquids at their interface, which is of great importance for the intensification of mass transfer in extraction processes.