Linearization from Complex Lie Point Transformations

Sajid Ali, M. Safdar and Asghar Qadir

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

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 R3 of the linearizability criteria in R2.

Date: 2014
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https://doi.org/10.1155/2014/793247

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:793247

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