caa a22 4500 475796853 CHVBK 20180406123727.0 cr unu---uuuuu 170329e20000101xx s 000 0 eng 10.1007/PL00001508 doi (NATIONALLICENCE)springer-10.1007/PL00001508 Demiray H. Işik University, Faculty of Sciences and Letters, Department of Mathematics, Büyükdere Caddesi, Maslak, Istanbul 80670 - Turkey, e-mail: demiray@isikun.edu.tr, TR aut On the contribution of higher order terms to solitary waves in fluid filled elastic tubes [Elektronische Daten] [H. Demiray] 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. Birkhäuser Verlag, Basel,, 2000 Key words. Solitary waves, elastic tubes, inviscid fluid nationallicence https://doi.org/10.1007/PL00001508 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00001508 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Demiray H. Işik University, Faculty of Sciences and Letters, Department of Mathematics, Büyükdere Caddesi, Maslak, Istanbul 80670 - Turkey, e-mail: demiray@isikun.edu.tr, TR aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer