  The numerous scientific feedbacks that the FitzHugh-Rinzel system (FHR) is
having in various scientific fields, lead to further studies on the
determination of its explicit solutions. Indeed, such a study can help to get a
better understanding of several behaviors in the complex dynamics of biological
systems. In this note, a class of traveling wave solutions is determined and
specific solutions are achieved to explicitly show the contribution due to a
diffusion term considered in the FHR model.
