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

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  • Hilmi Demiray

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.

Suggested Citation

  • Hilmi Demiray, 2004. "Modulation of nonlinear waves in a fluid-filled elastic tube with stenosis," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:826029
    DOI: 10.1155/S0161171204406486
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