Nonlinear perturbations with a self-induced pressure gradient in a boundary layer on a plate in transonic flow

The evolution of nonstationary nonlinear perturbations in a laminar boundary layer on a plate exposed to transonic external flow is investigated. Studying the two-dimensional field of velocities reduces to solving an integral-differential equation for a function dependent on time and on a single spatial coordinate. The theory developed implements continuous transfer from sub- to supersonic flow-around, since the above mentioned governing equation incorporates as its extreme cases the Burgers and Benjamin-Ono equations which describe the evolution of perturbations beyond the transonic interval.