International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 57-60, Pages 3205-3218
doi:10.1155/S0161171204406486
Modulation of nonlinear waves in a fluid-filled elastic tube with stenosis
Hilmi Demiray
Department of Mathematics, Faculty of Arts and Sciences, Isik University, Büyükdere Caddesi, Maslak, Istanbul 34398, Turkey
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.