We present a study on the effects of the diffusion of the atomic inver
sion in the coherent resonant pulse propagation. We present the soluti
on of the corresponding Maxwell-Bloch equations obtained by a perturba
tive technique based in the McCall and Hahn area theorem. The solution
s correspond to a modification of the npi stationary trajectories of s
uch a theorem. The new stability points depend on the radius of the fi
eld wavefront and also on the diffusion coefficient. The McCall y Hahn
's results for the transversal averaged area of the same pulse in the
presence of absorption are reproduced at the center of a gaussian wave
front propagating in the presence of diffusion. The asintotic perfil a
ccounts for the experimental results already explained using rate equa
tions.