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 .
Citation
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