We study the dynamics of wavefronts that arise in bistable systems wit
h correlated diffusion in time. For the piecewise linear reaction term
the speed of propagation of these fronts is obtained analytically. Th
e shape and the width of the front are analyzed by means of two differ
ent methods usually employed for parabolic diffusion. It is shown that
for hyperbolic reaction-diffusion equations the wavefront presents a
discontinuity in the slope. (C) 1998 Elsevier Science B.V. All rights
reserved.