NLS equation with variable coefficient in a stenosed elastic tube filled with an averaged inviscid fluid
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 inco...
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| Format: | Article |
| Language: | English |
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IDOSI Publications,
2012
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| Online Access: | http://eprints.uthm.edu.my/1810/ http://eprints.uthm.edu.my/1810/1/J12096_851adb0af9f1f42eda07be71b0cbabf1.pdf |
| _version_ | 1848887564794068992 |
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| author | Yaan, Yee Choy Kim, Gaik Tay Chee, Tiong Ong |
| author_facet | Yaan, Yee Choy Kim, Gaik Tay Chee, Tiong Ong |
| author_sort | Yaan, Yee Choy |
| building | UTHM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T19:56:24Z |
| format | Article |
| id | uthm-1810 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T19:56:24Z |
| publishDate | 2012 |
| publisher | IDOSI Publications, |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-18102021-10-18T03:24:21Z http://eprints.uthm.edu.my/1810/ NLS equation with variable coefficient in a stenosed elastic tube filled with an averaged inviscid fluid Yaan, Yee Choy Kim, Gaik Tay Chee, Tiong Ong TK7800-8360 Electronics 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. IDOSI Publications, 2012 Article PeerReviewed text en http://eprints.uthm.edu.my/1810/1/J12096_851adb0af9f1f42eda07be71b0cbabf1.pdf 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 |
| spellingShingle | TK7800-8360 Electronics Yaan, Yee Choy Kim, Gaik Tay Chee, Tiong Ong NLS equation with variable coefficient in a stenosed elastic tube filled with an averaged inviscid fluid |
| title | NLS equation with variable coefficient in a stenosed elastic
tube filled with an averaged inviscid fluid |
| title_full | NLS equation with variable coefficient in a stenosed elastic
tube filled with an averaged inviscid fluid |
| title_fullStr | NLS equation with variable coefficient in a stenosed elastic
tube filled with an averaged inviscid fluid |
| title_full_unstemmed | NLS equation with variable coefficient in a stenosed elastic
tube filled with an averaged inviscid fluid |
| title_short | NLS equation with variable coefficient in a stenosed elastic
tube filled with an averaged inviscid fluid |
| title_sort | nls equation with variable coefficient in a stenosed elastic
tube filled with an averaged inviscid fluid |
| topic | TK7800-8360 Electronics |
| url | http://eprints.uthm.edu.my/1810/ http://eprints.uthm.edu.my/1810/1/J12096_851adb0af9f1f42eda07be71b0cbabf1.pdf |