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Linearization from Complex Lie Point Transformations

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  • Sajid Ali
  • M. Safdar
  • Asghar Qadir

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 .

Suggested Citation

  • Sajid Ali & M. Safdar & Asghar Qadir, 2014. "Linearization from Complex Lie Point Transformations," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, November.
    • Handle: RePEc:hin:jnljam:793247
    DOI: 10.1155/2014/793247
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    Cited by:

    1. Andronikos Paliathanasis & Genly Leon & Peter G. L. Leach, 2022. "Lie Symmetry Classification and Qualitative Analysis for the Fourth-Order Schrödinger Equation," Mathematics, MDPI, vol. 10(17), pages 1-15, September.

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