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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| Main Authors: | , , |
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| Format: | Article |
| Published: |
World Academy of Science Engineering and Technology
2011
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/29501/ |
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| Summary: | 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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