P E Hydon 1996 J. Phys. A: Math. Gen. 29 385 doi:10.1088/0305-4470/29/2/018
P E Hydon
Show affiliationsThis paper outlines a technique for determining whether or not a given first-order ordinary differential equation (ODE) is invariant under a one-parameter Lie group of conformal symmetries. The method does not require the form of the Lie group to be specified a priori. Instead, the ODE is used to determine the infinitesimal generator of the group. Once it has been ascertained that the ODE has conformal symmetries, the method immediately yields the ODE's general solution.
02.30.Hq Ordinary differential equations
02.20.Qs General properties, structure, and representation of Lie groups
Issue 2 (21 January 1996)
Received 4 September 1995, in final form 3 November 1995
P E Hydon 1996 J. Phys. A: Math. Gen. 29 385
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