Wavefronts in bistable hyperbolic reaction–diffusion systems

We study the dynamics of wavefronts that arise in bistable systems with correlated diffusion in time. For the piecewise linear reaction term the speed of propagation of these fronts is obtained analytically. The shape and the width of the front are analyzed by means of two different methods usually employed for parabolic diffusion. It is shown that for hyperbolic reaction–diffusion equations the wavefront presents a discontinuity in the slope.