Propagation equations for waves in moving thin films of perfect liquids with weak sources at the bottom

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 ev...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1564; no. 1; pp. 12014 - 12020
Main Authors Brener, A, Yegenova, A, Botayeva, S
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.06.2020
Subjects
Physics
Solitary waves
Thin films
Wave propagation
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Summary: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1564/1/012014