| Summary: | In this study, we have contributed to the derivation of mathematical
model for the nonlinear waves modulation in an artery with the presence
of a stenosis. Assume that the artery as an incompressible, prestressed
thin walled elastic tube with a symmetrical stenosis and the blood as
an incompressible inviscid fluid. Such a combination of a solid and
fluid is considered to be a model for blood flow in a stenosed artery.
By employing the nonlinear equations of tube and fluid as well as the knowledge of reductive perturbation method, we obtained the nonlinear
Schr¨odinger (NLS) equation with variable coefficient as the governing
equation for this model. Our results show that the solitary wave with the
amplitude of one unit propagates to the left as travelling wave profile,
ξ increases by preserving its bell-shape wave. As might be expected
from physical consideration, the wave speed reaches its maximum value
at the center of the stenosis and gets smaller and smaller as goes away
from the center of the stenosis.
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