Symmetry group analysis and similarity reductions of the thin film equation
محورهای موضوعی : Geometry
M. Jafari
1
(Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran)
A. Tanhaeivash
2
(Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran)
کلید واژه: Thin film equation, Lie symmetry group, similarity reduction, optimal system,
چکیده مقاله :
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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