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

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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ISRP Style

Sajid Mohammad Kadhim, Mayada Gassab Mohammad, Hassan Kamil Jassim, How to obtain Lie point symmetries of PDEs, Journal of Mathematics and Computer Science, 22 (2021), no. 4, 306--324

AMA Style

Kadhim Sajid Mohammad, Mohammad Mayada Gassab, Jassim Hassan Kamil, How to obtain Lie point symmetries of PDEs. J Math Comput SCI-JM. (2021); 22(4):306--324

Chicago/Turabian Style

Kadhim, Sajid Mohammad, Mohammad, Mayada Gassab, Jassim, Hassan Kamil. "How to obtain Lie point symmetries of PDEs." Journal of Mathematics and Computer Science, 22, no. 4 (2021): 306--324


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