Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with
a viscous fluid
Abstract
In the present work, by considering the artery as a prestressed thin-walled elastic tube with a symmetrical
stenosis and the blood as an incompressible viscous fluid, we have studied the amplitude modulation of
nonlinear waves in such a composite medium through the use of the reductive perturbation method [23].
The governing evolutions can be reduced to the dissipative non-linear Schrodinger (NLS) equation with
variable coefficient. The progressive wave solution to the above non-linear evolution equation is then
sought.