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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

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 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.

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Sajid Ali. M. Safdar. Asghar Qadir. "Linearization from Complex Lie Point Transformations." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/793247

Information

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

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