Yazar "Demiray, Hilmi" için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
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Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: strongly dispersive case
Demiray, Hilmi (Pergamon-Elsevier Science, 2003-07)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, and then utilizing the modified reductive ... -
Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution
Demiray, Hilmi; El-Zahar, Essam Roshdy (Amer Inst Physics, 2018-04)We consider the nonlinear propagation of electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. The basic nonlinear equations ... -
The effect of a bump on wave propagation in a fluid-filled elastic tube
Demiray, Hilmi (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 ... -
Exact solution of perturbed Kdv equation with variable dissipation coefficient
Demiray, Hilmi (Ministry Communicatios & High Technologies Republic Azerbaijan, 2017)In the present work we study the integrability condition for a variable coefficient Korteweg-deVries(KdV) equation. For that purpose, we first introduce some proper transformations for dependent and independent variables ... -
Extended reductive perturbation method and its relation to the re-normalization method
Demiray, Hilmi (Walter De Gruyter GMBH, 2013-10-25)In this work, by utilizing the extended reductive perturbation method, we studied the propagation of weakly nonlinear waves in a collisionless cold plasma and formally obtained the governing evolution equations of various ... -
Forced KdV equation in a fluid-filled elastic tube with variable initial stretches
Demiray, Hilmi (Pergamon-Elsevier Science Ltd, 2009-11)In this work, by utilizing the nonlinear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable initial stretches both in the axial and the radial directions and the approximate ... -
Forced Korteweg-de Vries-Burgers equation in an elastic tube filled with a variable viscosity fluid
Gaik, Tay Kim; Demiray, Hilmi (Pergamon-Elsevier Science Ltd, 2008-11)In the present work, treating the arteries as a prestressed thin walled elastic tube with a stenosis and the blood as a Newtonian fluid with variable viscosity, we have studied the propagation of weakly nonlinear waves in ... -
Head-on collision of solitary waves in fluid-filled elastic tubes
Demiray, Hilmi (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 ... -
Head-on collision of the solitary waves in fluid-filled elastic tubes
Özden, Ali Erinç; Demiray, Hilmi (Işık University Press, 2018-04-12)In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the head-on collision of solitary waves in arteries. Introducing a set of stretched coordinates ... -
Head-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube
Demiray, Hilmi (Pergamon-Elsevier Science Ltd, 2009-08-30)In this work, treating the arteries as a thin walled, prestressed elastic tube and the blood as an incompressible viscous fluid of variable viscosity, we have studied the interactions of two nonlinear waves, in the long ... -
Higher order approximations in reductive perturbation method: Strongly dispersive waves
Demiray, Hilmi (2005-08)Contribution of higher order terms in the perturbation expansion for the strongly dispersive ion-plasma waves is examined through the use of modified reductive perturbation method developed early by us. It is shown that ... -
Higher order perturbation expansion for ion-acoustic solitary waves with q-nonextensive nonthermal velocity distribution
Demiray, Hilmi (Işık University Press, 2018-09-11)The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid q-nonextensive nonthermal velocity distribution are examined through the use of ... -
Higher order perturbation expansion of waves in water of variable depth
Demiray, Hilmi (Elsevier Ltd, 2010-01)In this work, we extended the application of "the modified reductive perturbation method" to long waves in water of variable depth and obtained a set of KdV equations as the governing equations. Seeking a localized travelling ... -
Interaction of nonlinear waves governed by Boussinesq equation
Demiray, Hilmi (Elsevier Ltd, 2006-12)In the present work, the nonlinear interactions of two acoustical waves governed by the Boussinesq equation with different wave numbers, frequencies and the group velocities are examined. For that purpose, we used the ... -
Interactions of nonlinear acoustic waves in a fluid-filled elastic tube
Akgün, Güler; Demiray, Hilmi (Pergamon-Elsevier Science, 2001-03)In the present work, the nonlinear interactions of two acoustical waves propagating in a fluid-filled elastic tube with different wave numbers, frequencies and group velocities are examined. Employing the multiple-scale ... -
Interactions of nonlinear electron-acoustic solitary waves with vortex electron distribution
Demiray, Hilmi (American Institute of Physics Inc., 2015-02-01)In the present work, based on a one dimensional model, we consider the head-on-collision of nonlinear electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like ... -
Interactions of nonlinear ion-acoustic waves in a collisionless plasma
Demiray, Hilmi (Elsevier Science BV, 2007-09-15)In the present work, based on a one-dimensional model, the interaction of two solitary waves propagating in opposite directions in a collisionless plasma is investigated by use of the extended Poincare-Lighthill-Kuo (PLK) ... -
Interactions of nonlinear waves in fluid-filled elastic tubes
Demiray, Hilmi (Verlag Z Naturforsch, 2007-02)In this work, treating an artery as a prestressed thin-walled elastic tube and the blood as an inviscid fluid, the interactions of two nonlinear waves propagating in opposite directions are studied in the longwave approximation ... -
Localized travelling waves in a prestressed thick elastic tube
Demiray, Hilmi (Pergamon-Elsevier Science, 2001-10)In the present work, by using the exact non-linear equations of an incompressible inviscid fluid contained in a prestressed thick elastic tube, the propagation of localized travelling wave solution in such a medium is ... -
A method for higher-order expansion in non-linear ion-acoustic waves
Demiray, Hilmi (Pergamon-Elsevier Science, 2000-03)The basic equations describing the non-linear ion-acoustic waves in a cold collisionless plasma, in the longwave limit, is re-examined through the use of a modified multiple-scale expansion method. Expanding the field ...