How to obtain Lie point symmetries of PDEs

Volume 22, Issue 4, pp 306--324 http://dx.doi.org/10.22436/jmcs.022.04.01

Publication Date: September 04, 2020 Submission Date: October 27, 2019 Revision Date: February 03, 2020 Accteptance Date: April 23, 2020

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Authors

Sajid Mohammad Kadhim - Departement of Mathematics, College Of Education for Pure Science, University Of Thi-Qar, Nasiriyah, Iraq. Mayada Gassab Mohammad - Departement of Mathematics, College Of Education for Pure Science, University Of Thi-Qar, Nasiriyah, Iraq. Hassan Kamil Jassim - Departement of Mathematics, College Of Education for Pure Science, University Of Thi-Qar, Nasiriyah, Iraq.

Abstract

In this research, we have studied how to obtain Lie point symmetries of a partial differential equation (PDEs) of second order. We have also studied some PDEs' applications as one-dimensional and two-dimensional heat equations. We have used Manale's formula for solving second-order ordinary differential equations to determine new symmetries. Burgers equation has been studied, and Lie point symmetries have been obtained for these equations.

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Keywords

• Symmetries
• infinitesimal
• invariant condition

MSC

•  34C14
•  34A26

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