Formation of ordered vortex structures from unstable oscillations in a boundary layer

The propagation of perturbations with a relatively large amplitude in a boundary layer is investigated using an asymptotic approach. The properties of the nonlinear process are described using the Benjamin-Ono equation, and the behavior of a periodic solution to this equation is investigated as a function of arbitrary constants. It is shown that the development of Tollmien-Schlichting waves with a rising amplitude in the boundary layer leads to the formation of soliton-type ordered vortex structures.