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On the contribution of higher order terms to solitary waves in fluid filled elastic tubes

  • H. Demiray
Article

Abstract.

In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the propagation of weakly nonlinear waves, in such a medium is studied through the use of the modified multiple scale expansion method. It is shown that the evolution of the lowest order (first order) term in the perturbation expansion may be described by the Korteweg-de Vries equation. The governing equation for the second order terms and the localized travelling wave solution for these equations are also obtained. The applicability of the present model to flow problems in arteries is discussed.

Key words. Solitary waves, elastic tubes, inviscid fluid. 

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Copyright information

© Birkhäuser Verlag, Basel, 2000

Authors and Affiliations

  • H. Demiray
    • 1
  1. 1.Işik University, Faculty of Sciences and Letters, Department of Mathematics, Büyükdere Caddesi, Maslak, Istanbul 80670 - Turkey, e-mail: demiray@isikun.edu.trTurkey

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