title: Formation and dynamics of finite amplitude localized pulses in elastic tubes.
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.
authors.affiliation: Institut für Theoretische Physik IV, Ruhr-Universität Bochum, D-44780 Bochum, Germany.
authors.forename: B
authors.initials: B
authors.lastname: Eliasson
authors.forename: P K
authors.initials: PK
authors.lastname: Shukla