Symmetry group analysis and similarity reductions of the thin film equation

محورهای موضوعی : Geometry

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

تاریخ دریافت : 1400/07/15 تاریخ پذیرش : 1400/09/17 تاریخ انتشار : 1400/09/23

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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