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Algebraic Structures of Generalised Symmetries of n th-order Scalar Ordinary Differential Equations of Maximal Lie Point Symmetry |
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PP: 1175-1180 |
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Author(s) |
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K. Charalambous,
PGL Leach,
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Abstract |
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| We compute for the representative scalar ordinary differential equation of maximal point symmetry the generalised
symmetries of order-one and two. We examine the Lie Brackets for the generalised symmetries and see that closure does not occur for
generalised symmetries of order-two. Consequently all generalised symmetries up to the maximum order possible must be admitted. |
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