Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube

Ilkay Bakirtaş, Hilmi Demiray*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

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 languageEnglish
Pages (from-to)747-767
Number of pages21
JournalApplied Mathematics and Computation
Volume154
Issue number3
DOIs
Publication statusPublished - 15 Jul 2004

Funding

In conducting this research, H.D. was supported by the Turkish Academy of Sciences.

FundersFunder number
Türkiye Bilimler Akademisi

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