Open Access
2014 Linearization from Complex Lie Point Transformations
Sajid Ali, M. Safdar, Asghar Qadir
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/793247


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 d4. 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 R3 of the linearizability criteria in R2.


Download Citation

Sajid Ali. M. Safdar. Asghar Qadir. "Linearization from Complex Lie Point Transformations." J. Appl. Math. 2014 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131868
MathSciNet: MR3283438
Digital Object Identifier: 10.1155/2014/793247

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
Back to Top