NLS equation with variable coefficient in a stenosed elastic tube filled with an averaged inviscid fluid

Yaan, Yee Choy and Kim, Gaik Tay and Chee, Tiong Ong (2012) NLS equation with variable coefficient in a stenosed elastic tube filled with an averaged inviscid fluid. World Applied Sciences Journal, 16 (4). pp. 622-631. ISSN 1818-4952

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Abstract

Wave modulation in an elastic tube had been studied by researchers since year 1979. However there is no wave modulation work in a stenosed elastic tube yet. Hence, in the present work, by considering the artery as a prestressed thin elastic tube with a symmetrical stenosis and the blood as an incompressible averaged inviscid fluid, we have studied the amplitude modulation of non-linear waves in such a composite medium by using the reductive perturbation method [10]. The governing equations can be reduced to the non-linear Schrodinger (NLS) equation with variable coefficient. The progressive wave solution to the above non-linear evolution equation is then sought. The non-linear Schrodinger (NLS) equation with variable coefficient shows increasing shock wave propagates to the right as real time passed.

Item Type:	Article
Uncontrolled Keywords:	Elastic tube; stenosis; inviscid fluid; nonlinear schrodinger equation
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering > TK7800-8360 Electronics
Depositing User:	Mr. Abdul Rahim Mat Radzuan
Date Deposited:	18 Oct 2021 03:24
Last Modified:	18 Oct 2021 03:24
URI:	http://eprints.uthm.edu.my/id/eprint/1810

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