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Linearization from Complex Lie Point Transformations
oleh: Sajid Ali, M. Safdar, Asghar Qadir
Format: | Article |
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Diterbitkan: | Wiley 2014-01-01 |
Deskripsi
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.