  First time in six decades, uncountable infinite exact solutions of
FitzHugh-Nagumo model with diffusion have been found. FitzHugh-Nagumo model is
a nonlinear dynamical system applicable to neurosciences, chemical kinetics,
cell division, population dynamics, electronics, epidemiology, cardiac
physiology and pattern formation. Non-classical symmetry analysis has been
carried out to find invariant solutions. In many ways this finding makes the
corpus of asymptotics and numerics obsolete. Non singular, physically stable
and meaningful solutions could now be found without distorting the actual model
or introducing forced conditions.
