Formation and dynamics of finite amplitude localized pulses in elastic tubes

B. Eliasson, P. K. Shukla

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Abstract

We present theoretical and simulation studies of the formation and dynamics of finite-amplitude localized pulses (solitary waves) of an incompressible fluid in an elastic tube. Starting from a set of hydrodynamic equations, we derive a Hamiltonian which represents the energy integral of our system. The energy integral is analyzed to obtain explicit profiles of finite-amplitude solitary pulses. Also studied are the excitation and dynamics of solitary pulses by using computer simulations. It is found that a train of solitary pulses can be excited by the nonlinear self-steepening at shock fronts. The relevance of our investigation to blood solitary waves in arteries is discussed.
Original languageEnglish
Article number067302
Number of pages4
JournalPhysical Review E
Volume71
Issue number6
DOIs
Publication statusPublished - 28 Jun 2005

Keywords

  • localized pulses
  • elastic tubes

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