Linearization from Complex Lie Point Transformations. (19th November 2014)

• Record Type: Journal Article
• Authors: Ali, Sajid; Safdar, M.; Qadir, Asghar
• Other Names: Leach Peter G. L. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-11-19
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/793247
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : Complex Lie point transformations are used to linearize a class of systems of second order ordinary differential equations (ODEs) which have Lie algebras of maximum dimension d, with d ≤ 4 . We identify such a class by employing complex structure on the manifold that defines the geometry of differential equations. Furthermore we provide a geometrical construction of the procedure adopted that provides an analogue in R 3 of the linearizability criteria in R 2 .