Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid

Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid

In the present work, by considering the artery as a prestressed thin-walled elastic tube with a symmetrical stenosis and the blood as an incompressible viscous fluid, we have studied the amplitude modulation of nonlinear waves in such a composite medium through the use of the reductive perturbation...

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Main Authors: Kim, Gaik Taya, Yaan, Yee Choy, Chee, Tiong Ong, Demiray, Hilmi
Format: Article
Language:English
Published: Engg Journals Publications 2010
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/37280/2/IJEST10-02-04-53.pdf
http://eprints.utm.my/id/eprint/37280/
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Institution: Universiti Teknologi Malaysia
Language: English
id my.utm.37280
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spelling my.utm.372802017-02-15T00:56:32Z http://eprints.utm.my/id/eprint/37280/ Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid Kim, Gaik Taya Yaan, Yee Choy Chee, Tiong Ong Demiray, Hilmi QA Mathematics In the present work, by considering the artery as a prestressed thin-walled elastic tube with a symmetrical stenosis and the blood as an incompressible viscous fluid, we have studied the amplitude modulation of nonlinear waves in such a composite medium through the use of the reductive perturbation method [23]. The governing evolutions can be reduced to the dissipative non-linear Schrodinger (NLS) equation with variable coefficient. The progressive wave solution to the above non-linear evolution equation is then sought. Engg Journals Publications 2010-04 Article PeerReviewed text/html en http://eprints.utm.my/id/eprint/37280/2/IJEST10-02-04-53.pdf Kim, Gaik Taya and Yaan, Yee Choy and Chee, Tiong Ong and Demiray, Hilmi (2010) Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid. International Journal of Engineering Science and Technology, 2 (4). pp. 708-723. ISSN 2278–9510 (Print); 0975–5462 (Electronic)
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/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Kim, Gaik Taya
Yaan, Yee Choy
Chee, Tiong Ong
Demiray, Hilmi
Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid
description In the present work, by considering the artery as a prestressed thin-walled elastic tube with a symmetrical stenosis and the blood as an incompressible viscous fluid, we have studied the amplitude modulation of nonlinear waves in such a composite medium through the use of the reductive perturbation method [23]. The governing evolutions can be reduced to the dissipative non-linear Schrodinger (NLS) equation with variable coefficient. The progressive wave solution to the above non-linear evolution equation is then sought.
format Article
author Kim, Gaik Taya
Yaan, Yee Choy
Chee, Tiong Ong
Demiray, Hilmi
author_facet Kim, Gaik Taya
Yaan, Yee Choy
Chee, Tiong Ong
Demiray, Hilmi
author_sort Kim, Gaik Taya
title Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid
title_short Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid
title_full Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid
title_fullStr Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid
title_full_unstemmed Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid
title_sort dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid
publisher Engg Journals Publications
publishDate 2010
url http://eprints.utm.my/id/eprint/37280/2/IJEST10-02-04-53.pdf
http://eprints.utm.my/id/eprint/37280/
_version_ 1643650109923131392

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