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Nonlinear waves in fluid-filled stenosed elastic tube: nonlinear schrödinger equation with variable coefficient

Choy, Yaan Yee and Tay, Kim Gaik and Ong, Chee Tiong (2011) Nonlinear waves in fluid-filled stenosed elastic tube: nonlinear schrödinger equation with variable coefficient. International Science Index, 5 . pp. 1429-1432. ISSN 2010-376X

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Abstract

In the present work, by utilizing the artery as a prestressed thin-walled elastic tube with a symmetrical stenosis and the blood as an incompressible full inviscid fluid, we have studied the amplitude modulation of nonlinear waves in such a composite medium by using the reductive perturbation method. The governing equations can be reduced to nonlinear Schrödinger (NLS) equation with variable coefficient. The wave solution propagates to the left by preserving their bell-shape form while time ξ increases.

Item Type:Article
Uncontrolled Keywords:elastic tube with stenosis, full inviscid fluid, nonlinear waves
Subjects:Q Science
Divisions:Science
ID Code:29501
Deposited By: Yanti Mohd Shah
Deposited On:19 Mar 2013 08:43
Last Modified:25 Apr 2019 09:15

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