Abstract
The algorithm suggested by Ablowitz et al. to test the Painlevé property (complete integrability) is applied to both the FitzHugh-Nagumo and Rajagopal's nerve conduction equations. The analysis concludes that the FitzHugh-Nagumo equations are integrable for ϵ = 0 and non-integrable for general choices of the parameter value ϵ, while Rajagopal's equations are integrable for the choice of the parameter value u 2= b.
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