Symmetry group analysis and similarity reductions of the thin film equation
الموضوعات :
M. Jafari
1
,
A. Tanhaeivash
2
1 - Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran
2 - Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran
الکلمات المفتاحية: Thin film equation, Lie symmetry group, similarity reduction, optimal system,
ملخص المقالة :
In this article, by using the Lie symmetry method, we find the Lie symmetry group of the thin film equation. Also, the one-dimensional optimal system of Lie subalgebras is obtained. Then, we calculate the similarity reductions of the thin film equation and classify them by using the optimal system.
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