Symmetries of second-order ordinary differential equations and Elie Cartan's method of equivalence |
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| Authors: | L Hsu N Kamran |
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| Institution: | (1) Department of Applied Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada |
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| Abstract: | We show how the differential invariants generated by Elie Cartan's method of equivalence may be used in determining the symmetry groups of second-order ordinary differential equations. This result is then applied to a series of equations which arise in various aspects of mathematical physics. |
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