Konu "Wave propagation" için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 12, listelenen: 1-12
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Dynamic extension of a compressible nonlinearly elastic membrane tube
(Oxford Univ Press, 2005-02)The dynamic response of an isotropic compressible hyperelastic membrane tube is considered when one end is fixed and the other is subjected to a suddenly applied dynamic extension. The equations governing dynamic axially ... -
The dynamic response of an incompressible non-linearly elastic membrane tube subjected to a dynamic extension
(Pergamon-Elsevier Science Ltd, 2004-06)The dynamic response of an isotropic hyperelastic membrane tube, subjected to a dynamic extension at its one end, is studied. In the first part of the paper, an asymptotic expansion technique is used to derive a non-linear ... -
The effect of a bump on wave propagation in a fluid-filled elastic tube
(Pergamon-Elsevier Science Ltd., 2004-01)In the present work, treating the arteries as a thin walled prestressed elastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a ... -
Head-on collision of solitary waves in fluid-filled elastic tubes
(Pergamon-Elsevier Science Ltd, 2005-08)In this work, treating the arteries as a thin walled, prestressed thin elastic tube and the blood as an inviscid fluid, we have studied the propagation of nonlinear waves, in the longwave approximation, through the use of ... -
A higher-order model for transverse waves in a generalized elastic solid
(Pergamon-Elsevier Science, 2002-11)In the present study, the nonlinear modulation of transverse waves propagating in a generalized elastic solid is studied using a multi-scale expansion of quasi-monochromatic wave solutions. In particular, to include the ... -
A note on the exact travelling wave solution to the KdV-Burgers equation
(Elsevier Science, 2003-10)In the present note, by use of the hyperbolic tangent method, a progressive wave solution to the Korteweg-de Vries-Burgers (KdVB) equation is presented. The solution we introduced here is less restrictive and comprises ... -
A note on the wave propagation in water of variable depth
(Elsevier Science Inc, 2011-11-01)In the present work, utilizing the two dimensional equations of an incompressible inviscid fluid and the reductive perturbation method we studied the propagation of weakly nonlinear waves in water of variable depth. For ... -
A numerical study of the long wave-short wave interaction equations
(Elsevier B.V., 2007-03-07)Two numerical methods are presented for the periodic initial-value problem of the long wave-short wave interaction equations describing the interaction between one long longitudinal wave and two short transverse waves ... -
On the realization of optical mappings and transformation of amplitudes by means of an aspherical "thick" lens
(Gustav Fischer Verlag, 2000)The constraints for the realization of a given optical mapping by means of an aspherical ''thick" lens are investigated by using the laws of geometrical optics. The analysis yields us a partial differential equation which ... -
On travelling wave solutions of a generalized Davey-Stewartson system
(Oxford Univ Press, 2005-02)The generalized Davey-Stewartson (GDS) equations, as derived by Babaoglu & Erbay (2004, Int. J. Non-Linear Mech., 39, 941-949), is a system of three coupled equations in (2 + 1) dimensions modelling wave propagation in an ... -
Two-dimensional wave packets in an elastic solid with couple stresses
(Pergamon-Elsevier Science Ltd, 2004-08)The problem of (2+1) (two spatial and one temporal) dimensional wave propagation in a bulk medium composed of an elastic material with couple stresses is considered. The aim is to derive (2+1) non-linear model equations ... -
Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid
(Pergamon-Elsevier Science Ltd, 2005-07)In the present work, treating the artery as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly non-linear waves in ...