Discrete Symmetry Transformations of Third Order Ordinary Differential Equations and Applications-Reference-Cited by-同舟云学术

Discrete Symmetry Transformations of Third Order Ordinary Differential Equations and Applications

Published:2020-10-26 Issue: Volume:19 Page:503-509
ISSN:1109-2769
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Bibi Khudija¹,Feroze Tooba²

Affiliation:

1. Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan, also with Department of Mathematics, Faculty of Basic and Applied Sciences, nternational Islamic University, Islamabad, Pakistan

2. Department of Mathematics, Faculty of Basic and Applied Sciences, nternational Islamic University, Islamabad, Pakistan

Abstract

Third order ordinary differential equations have already been classified by the Lie algebra they admit. Invariant equations corresponding to these Lie algebras are also available in the literature [17]. In this paper, list of all discrete symmetries corresponding to these invariant ordinary differential equations, are obtained. Some particular examples are given to show the significance of the work.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference21 articles.

1. P.E. Hydon, Symmetry Methods for Differential Equations: A Beginner’s Guide, Cam-bridge university Press, Cambridge, (2000).

2. H. Stephani, Differential equations: Their solutions using symmetries, Cambridge university Press, Cambridge, (1989).

3. G.W. Bluman and S. Kumei, Symmetries and Differential Equations, Springer-Verlag, NewYork, (1989).

4. N.H. Ibragimov, Elementary Lie Group Analysis and Ordinary Differential Equations,John wiley & Sons, Chichester, UK, (1999).

5. P.J. Olver, Equivalnce, invariants and symmetry, Cambridge university press, Cambridge.