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: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Engg Journals Publications
2010
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| Subjects: | |
| 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 |
| Summary: | 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. |
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