A class of solutions for a neural model influenced by magnetic field and diffusion term

Abstract The scientific interest raised by synapse phenomenons leads to increasing investigations on analytical aspects of the problem. In this paper, a mathematical system of PDEs, that describes biological aspects of synapses affected by electromagnetic fields, is considered. To highlight contributions of magnetic field, a class of travelling-wave solutions is determined and specific solutions are obtained. This allows us to explicitly show how the parameters characterizing magnetic effects vary according to both the diffusion term and the coefficients related to Fitzugh-Rinzel type models.