Linearization from Complex Lie Point Transformations

Sajid Ali, M. Safdar and Asghar Qadir

Journal of Applied Mathematics, 2014, vol. 2014, 1-8

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 , with . 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 of the linearizability criteria in .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:793247

DOI: 10.1155/2014/793247

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