  We study propagation of traveling waves in a blood filled elastic artery with
an axially symmetric dilatation (an idealized aneurysm) in long-wave
approximation.The processes in the injured artery are modelled by equations for
the motion of the wall of the artery and by equation for the motion of the
fluid (the blood). For the case when balance of nonlinearity, dispersion and
dissipation in such a medium holds the model equations are reduced to a version
of the Korteweg-deVries-Burgers equation with variable coefficients. Exact
travelling-wave solution of this equation is obtained by the modified method of
simplest equation where the differential equation of Riccati is used as a
simplest equation. Effects of the dilatation geometry on the travelling-wave
profile are considered.
