Abstract:
The results of an asymptotic approach to the propagation of comparatively large amplitude perturbations in
a boundary layer are described. The properties of the non-linear process being considered are established using the Benjamin–Ono equation. The behaviour of the periodic solution of this equation as a function of the magnitude of the arbitrary constants is analysed. A comparison with available experimental data shows that
a description of the basic regularities following from them can be achieved within the framework of the asymptotic theory. It is concluded from this that the development of Tollmin–Schlichting waves with an increasing amplitude in the boundary layer leads to the formation of ordered vortex structures of the soliton type.
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