caa a22 4500 477067557 CHVBK 20180405111416.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF02459491 doi (NATIONALLICENCE)springer-10.1007/BF02459491 Demiray Hilmi Department of Mathematics, Marmara Research Center, Research Institute for Basic Sciences, Gebze, Kocaeli, Turkey aut Solitary waves in prestressed elastic tubes [Elektronische Daten] [Hilmi Demiray] In this work, we studied the propagation of non-linear waves in a pre-stressed thin elastic tube filled with an inviscid fluid. In the analysis, analogous to the physiological conditions of the arteries, the tube is assumed to be subject to a uniform pressureP 0 and a constant axial stretch ratio λz. In the course of blood flow it is assumed that a large dynamic displacement is superimposed on this static field. Furthermore, assuming that the displacement gradient in the axial direction is small, the non-linear equation of motion of the tube is obtained. Using the reductive perturbation technique, the propagation of weakly non-linear waves in the long-wave approximation is investigated. It is shown that the governing equations reduce to the Korteweg-deVries equation which admits a solitary wave solution. The result is discussed for some elastic materials existing in the literature. Society for Mathematical Biology, 1996 Bulletin of Mathematical Biology Kluwer Academic Publishers 58/5(1996-09-01), 939-955 0092-8240 58:5<939 1996 58 11538 https://doi.org/10.1007/BF02459491 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02459491 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Demiray Hilmi Department of Mathematics, Marmara Research Center, Research Institute for Basic Sciences, Gebze, Kocaeli, Turkey aut NATIONALLICENCE 773 0- Bulletin of Mathematical Biology Kluwer Academic Publishers 58/5(1996-09-01), 939-955 0092-8240 58:5<939 1996 58 11538 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer