Simulating solitary waves on a flowing down liquid film entrained by a gas stream

We consider nonlinear waves on the liquid film, flowing down over a vertical plane in the field of gravity and entrained by a concurrent gas flow. The long-wave modes of such a flow are studied for the case of small flow rates. The problem is reduced to studying the solutions of a nonlinear evolution equation for the film thickness perturbation. Soliton solutions of this model equation have been built numerically. It is shown that, similar to the case of the freely falling film, this model equation has solutions in the form of multi-hump solitons-elevations.