  Using methods of numerical simulation, we demonstrate the constructive role
of memristive coupling in the context of the travelling wave formation and
robustness in an ensemble of excitable oscillators described by the
FitzHugh-Nagumo neuron model. First, the revealed aspects of the memristive
coupling action are shown on an example of the deterministic model where the
memristive properties of the coupling elements provide for achieving travelling
waves at lower coupling strength as compared to non-adaptive diffusive
coupling. In the presence of noise, the positive role of memristive coupling is
manifested as significant increasing a noise intensity critical value
corresponding to the noise-induced destruction of travelling waves as compared
to classical diffusive interaction. In addition, we point out the second
constructive factor, the L{\'e}vy noise whose properties provide for inducing
travelling waves.
