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Lie symmetry analysis of a higher-order thin film equation. (Chinese. English summary) Zbl 1374.76190

Summary: In this paper, a Lie symmetry analysis approach is developed to study a higher-order nonlinear thin film equation. Using the infinitesimal generators, the Lie algebra and its optimal system of the higher-order thin film equation are derived. The equation is then reduced to ordinary differential equations. As a result, some physically interesting solutions are obtained and discussed.

MSC:

76M60 Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics
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