Solutions of systems of ordinary differential equations using invariants of symmetry groups

Fatma Al-Kindi*, Muhammad Ziad

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationModern Treatment of Symmetries, Differential Equations and Applications, Symmetry 2019
EditorsSibusiso Moyo, Sergey V. Meleshko, Eckart Schulz
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418981
DOIs
Publication statusPublished - Sep 12 2019
EventInternational Conference on Modern Treatment of Symmetries, Differential Equations and Applications 2019, Symmetry 2019 - Nakhon Ratchasima, Thailand
Duration: Jan 14 2019Jan 18 2019

Publication series

NameAIP Conference Proceedings
Volume2153
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Modern Treatment of Symmetries, Differential Equations and Applications 2019, Symmetry 2019
CountryThailand
CityNakhon Ratchasima
Period1/14/191/18/19

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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