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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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 |
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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 |
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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. |
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Article |
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Choy, Yaan Yee Tay, Kim Gaik Ong, Chee Tiong |
author_facet |
Choy, Yaan Yee Tay, Kim Gaik Ong, Chee Tiong |
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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 |
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World Academy of Science Engineering and Technology |
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2011 |
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http://eprints.utm.my/id/eprint/29501/ |
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13.187197 |