Abstract :
In the present work, treating the arteries as a thin walled prestressed elastic tube with variable
radius, and using the longwave approximation, we have studied the propagation of
weakly nonlinear waves in such a fluid-filled elastic tube, by employing the reductive perturbation
method. By considering the blood as an incompressible non-viscous fluid, the
evolution equation is obtained as variable coefficients Korteweg–de Vries equation. Noticing
that for a set of initial deformations, the coefficient characterizing the nonlinearity vanish,
by re-scaling the stretched coordinates we obtained the variable coefficient modified
KdV equation. Progressive wave solution is sought for this evolution equation and it is
found that the speed of the wave is variable along the tube axis.
