• Hilmi Demiray
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 111)


In the present work, by treating the arteries as a prestressed thin walled elastic tube of variable radius, and the blood as an incompressible inviscid fluid, we have studied the propagation of weakly nonlinear waves in such a medium through the use of long wave approximation and the reductive perturbation method. The KdV equation with variable coefficient is obtained as the evolution equation. By seeking a progressive wave type of solution to this equation, we observed that the wave speed decreases with increasing inner radius while it increases with decreasing inner radius of the tube. Such a result is to be expected from physical considerations.


Solitary Wave Nonlinear Wave Wave Speed Solitary Wave Solution Physical Consideration 
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Copyright information

© Springer 2006

Authors and Affiliations

  • Hilmi Demiray
    • 1
  1. 1.Department of Mathematics, Faculty of Arts and SciencesΙşık UniversityMaslak, İstanbulTurkey

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