@inproceedings{695e26ea14c24131a12f6b5c6cb04bcb,
title = "Solutions of systems of ordinary differential equations using invariants of symmetry groups",
abstract = "We investigate the use of invariants of the admitted Lie groups of transformation in finding solutions of the systems of ordinary differential equations (ODEs). Bluman's theorem (1990) of invariant solutions of ODEs is extended for systems of ODEs. Differential invariants of a Lie group are used in reducing order of the given system. Examples are given to illustrate the methods.",
author = "Fatma Al-Kindi and Muhammad Ziad",
note = "Funding Information: This work is undertaken under the internal grant project: IG/SCI/MATH/19/02 of Sultan Qaboos University. Publisher Copyright: {\textcopyright} 2019 Author(s).; International Conference on Modern Treatment of Symmetries, Differential Equations and Applications 2019, Symmetry 2019 ; Conference date: 14-01-2019 Through 18-01-2019",
year = "2019",
month = sep,
day = "12",
doi = "10.1063/1.5125067",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Sibusiso Moyo and Meleshko, {Sergey V.} and Eckart Schulz",
booktitle = "Modern Treatment of Symmetries, Differential Equations and Applications, Symmetry 2019",
}