Modulation of nonlinear waves in a fluid-filled elastic tube with stenosis

Hilmi Demiray

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-14

Abstract:

Treating the arteries as a thin-walled and prestressed elastic tube with a stenosis and the blood as a Newtonian fluid with negligible viscosity, we have studied the amplitude modulation of nonlinear waves in such a composite system by use of the reductive perturbation method. The governing evolution equation is obtained as the variable-coefficient nonlinear Schrödinger equation. It is observed that the speed of the harmonic wave increases with distance from the center of stenosis.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:826029

DOI: 10.1155/S0161171204406486

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