No abstract

The paper deals with the derivation of governing propagation equations of nonlinear waves in thin liquid films applying to two basic cases, namely for the perfect fluid flow with a weak mass source at the bottom and for the thin film of viscid liquid flow with a mass source and surface activity at the free moving boundary. The second case is considered on the example of a condensate film flow under the low heat transfer intensity. The conditions under which the model equation has the left-hand side of a type of the Korteweg-deVries equation with slowly evolved parameters, and perturbed right-hand side have been established for the both cases. The conditions under which the solitary wave solutions are possible have been defined too.

The paper deals with the problem of modelling nonlinear waves propagation in thin liquid layers in the presence of weak sources at the bottom. It is established the conditions under which the model equation has the left-hand side bearing a resemblance to the Korteweg-de-Vries equation with slowly evolved parameters, and perturbed right-hand side. At the same time the specific conditions under which the appearance of solitary waves can be nevertheless possible have been defined.

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