Lie Symmetry Method for Solutions of Differential Equations with Applications in Physics

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Cumhuriyet Üniversitesi Fen-Edebiyat Fakültesi Fen Bilimleri Dergisi
Volume:36 Issue:3
Lie Symmetry Method for Solutions of Differential Equations with Applications in Physics

Lie Symmetry Method for Solutions of Differential Equations with Applications in Physics

Authors : Seyed Reza HEJAZI, Elaheh SABERI, Paeezeh MAHDAVI

Pages : 2223-2233

View : 58 | Download : 14

Publication Date : 2015-05-13

Article Type : Review Paper

Abstract :Abstract. A mathematical method in pure mathematics (differential geometry) for finding solutions of differential equations is considered. The method is based on constructing a Lie algebra associated to a given system of differential equation, called Lie algebra of the symmetries of the given system. This Lie algebra is a vector space which maps a given solution, such as a constant solution, to another solution, it is a significant tool for finding new solution for system of differential equation specially partial differential equations. Then we will apply it to some differential equations in fluid mechanics and physics.
Keywords : Differential equations, Fluid Mechanics, boundary layers, Newtonian fluid, Flows of vector fields, heat transfer equation

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