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

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....

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Main Authors: Choy, Yaan Yee, Tay, Kim Gaik, Ong, Chee Tiong
Format: Article
Published: World Academy of Science Engineering and Technology 2011
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Online Access:http://eprints.utm.my/id/eprint/29501/
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spelling my.utm.295012019-04-25T01:15:19Z http://eprints.utm.my/id/eprint/29501/ Nonlinear waves in fluid-filled stenosed elastic tube: nonlinear schrödinger equation with variable coefficient Choy, Yaan Yee Tay, Kim Gaik Ong, Chee Tiong Q Science 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. World Academy of Science Engineering and Technology 2011-08 Article PeerReviewed 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
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science
spellingShingle Q Science
Choy, Yaan Yee
Tay, Kim Gaik
Ong, Chee Tiong
Nonlinear waves in fluid-filled stenosed elastic tube: nonlinear schrödinger equation with variable coefficient
description 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.
format Article
author Choy, Yaan Yee
Tay, Kim Gaik
Ong, Chee Tiong
author_facet Choy, Yaan Yee
Tay, Kim Gaik
Ong, Chee Tiong
author_sort Choy, Yaan Yee
title Nonlinear waves in fluid-filled stenosed elastic tube: nonlinear schrödinger equation with variable coefficient
title_short Nonlinear waves in fluid-filled stenosed elastic tube: nonlinear schrödinger equation with variable coefficient
title_full Nonlinear waves in fluid-filled stenosed elastic tube: nonlinear schrödinger equation with variable coefficient
title_fullStr Nonlinear waves in fluid-filled stenosed elastic tube: nonlinear schrödinger equation with variable coefficient
title_full_unstemmed Nonlinear waves in fluid-filled stenosed elastic tube: nonlinear schrödinger equation with variable coefficient
title_sort nonlinear waves in fluid-filled stenosed elastic tube: nonlinear schrödinger equation with variable coefficient
publisher World Academy of Science Engineering and Technology
publishDate 2011
url http://eprints.utm.my/id/eprint/29501/
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score 13.187197