Abstract
In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear waves in such a fluid-filled elastic tube. By considering the blood as an incompressible inviscid fluid the evolution equation is obtained as the nonlinear Schrödinger equation with variable coefficients. It is shown that this type of equations admit a solitary wave type of solution with variable wave speed. It is observed that, the wave speed decreases with distance for tubes with descending radius while it increases for tubes with ascending radius.
Original language | English |
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Pages (from-to) | 747-767 |
Number of pages | 21 |
Journal | Applied Mathematics and Computation |
Volume | 154 |
Issue number | 3 |
DOIs | |
Publication status | Published - 15 Jul 2004 |
Funding
In conducting this research, H.D. was supported by the Turkish Academy of Sciences.
Funders | Funder number |
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Türkiye Bilimler Akademisi |