Abstract
AbstractIn the present work, treating the arteries as a tapered, thin walled, long, and circularly conical prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear waves in such a fluid‐filled elastic tube. By considering the blood as an incompressible non‐viscous fluid, the evolution equation is obtained as the nonlinear Schrödinger equation with variable coefficients. It is shown that this type of equations admit a solitary wave type of solution with a variable wave speed. It is observed that the wave speed increases with distance for narrowing tubes while it decreases for expanding tubes.
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