Second-Order Systems of ODEs Admitting Three-Dimensional Lie Algebras and Integrability

We present a systematic procedure for the determination of a complete set of kth-order (k≥2) differential invariants corresponding to vector fields in three variables for three-dimensional Lie algebras. In addition, we give a procedure for the construction of a system of two kth-order ODEs admitting...

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Bibliographic Details
Main Authors: Muhammad Ayub, Masood Khan, F. M. Mahomed
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/147921
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