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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IDOSI Publications,
2012
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/1810/1/J12096_851adb0af9f1f42eda07be71b0cbabf1.pdf http://eprints.uthm.edu.my/1810/ |
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| Institution: | Universiti Tun Hussein Onn Malaysia |
| Language: | English |
| Summary: | 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. |
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