Yazar "Demiray, Hilmi" için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
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Nonlinear waves in a prestressed elastic tube filled with a layered fluid
Demiray, Hilmi (Pergamon-Elsevier Science, 2002-04)In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible layered fluid, where the outer layer is assumed to be inviscid whereas the cylindrical ... -
Nonlinear waves in a viscous fluid contained in a viscoelastic tube
Demiray, Hilmi (Birkhauser Verlag, 2001-11)In the present work the propagation of weakly nonlinear waves in a prestressed viscoelastic thin tube filled with a viscous fluid is studied. Using the reductive perturbation technique in analyzing the nonlinear equations ... -
Nonlinear waves in an elastic tube with variable prestretch filled with a fluid of variable viscosity
Demiray, Hilmi (Pergamon-Elsevier Science Ltd, 2008-10)In the present work, by employing the reductive perturbation method to the nonlinear equations of an incompressible, prestressed, homogeneous and isotropic thin elastic tube and to the exact equations of an incompressible ... -
A note on the amplitude modulation of symmetric regularized long-wave equation with quartic nonlinearity
Demiray, Hilmi (Springer, 2012-12)We study the amplitude modulation of a symmetric regularized long-wave equation with quartic nonlinearity through the use of the reductive perturbation method by introducing a new set of slow variables. The nonlinear ... -
A note on the analytical solution to the modified perturbed Korteweg-de Vries equation
Demiray, Hilmi (Elsevier Science, 2003-01-25)Motivated with a solitary wave type of solution to modified Korteweg-de Vries (KdV) equation, in this work we shall seek a travelling wave solution to the modified perturbed KdV equation. It is observed that the modified ... -
A note on the cylindrical solitary waves in an electron-acoustic plasma with vortex electron distribution
Demiray, Hilmi; Bayındır, Cihan (Amer Inst Physics, 2015-09)In the present work, we consider the propagation of nonlinear electron-acoustic non-planar waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. ... -
A note on the cylindrical waves with transverse distortion in a plasma with vortex electron distribution
Demiray, Hilmi (Işık University Press, 2020-01-20)In the present work, employing the conventional reductive perturbation method and the nonlinear field equations of a plasma consisting of a cold electron uid, hot electrons obeying a non-isothermal (trapped/vortex-like) ... -
A note on the exact travelling wave solution to the KdV-Burgers equation
Demiray, Hilmi (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 interactions of nonlinear waves governed by the generalized boussinesq equation
Demiray, Hilmi (Azerbaijan National Acad Sci, 2014)In this work, based on a one dimensional model, the interaction of two solitary waves propagating in opposite directions in a fluid whose equations are governed by the generalized Boussinesq equation, by use of the ... -
A note on the progressive wave solution of the perturbed Korteweg-deVries equation with variable dissipation
Demiray, Hilmi (Elsevier Science Inc, 2014-12-01)In this note, utilizing the method presented in Engelbrecht (1991) and Demiray (2002) we have studied the propagation of progressive waves in perturbed KdV equation with variable dissipation coefficient. The cases of ... -
A note on the solution of perturbed Korteweg-de Vries equation
Demiray, Hilmi (Elsevier Science, 2002-11-10)In this work, utilizing the hyperbolic tangent method, a travelling wave solution is presented for the perturbed Korteweg-de Vries (KdV) equation, which was studied before by inverse scattering [Elements of soliton theory, ... -
A note on the travelling wave solution to perturbed Burgers' equation (vol 26, pg 37, 2002)
Demiray, Hilmi (Elsevier Science, 2003-06)[No abstract available] -
A note on the travelling wave solution to the perturbed Burgers' equation
Demiray, Hilmi (Elsevier Science, 2002-06)In this work, utilizing the hyperbolic tangent method, a travelling wave solution is presented for the perturbed Burgers' equation. which has not been studied before in the existing literature. It is observed that the ... -
A note on the wave propagation in water of variable depth
Demiray, Hilmi (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 ... -
On head-on collision between two solitary waves in shallow water: the use of the extended PLK method
Demiray, Hilmi; Özden, Ali Erinç (Springer, 2015-10)In the present work, we examined the head-on collision of solitary waves in shallow water theory, through the use of extended Poincare–Lighthill–Kuo (PLK) method based on the combination of reductive perturbation method ... -
On progressive wave solution for non-planar KDV equation in a plasma with q-nonextensive electrons and two oppositely charged ions
Demiray, Hilmi; El-Zahar, Essam Roshdy; Shan, Shaukat Ali (Işık University Press, 2020)In this paper, the ion-acoustic wave is investigated in a plasma with q-nonextensive electrons and two oppositely charged ions with varying masses. These parameters are found to modify the linear dispersion relation and ... -
On some nonlinear waves in fluid-filled viscoelastic tubes: Weakly dispersive case
Demiray, Hilmi (2005-06)By employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin viscoelastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some ... -
On the contribution of higher order terms to solitary waves in fluid filled elastic tubes
Demiray, Hilmi (Birkhauser Verlag, 2000-01)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 ... -
On the derivation of some non-linear evolution equations and their progressive wave solutions
Demiray, Hilmi (Pergamon-Elsevier Science, 2003-06)In the present work, utilizing the reductive perturbation method, the non-linear equations of a prestressed viscoelastic thick tube filled with a viscous fluid are examined in the longwave approximation and some evolution ... -
On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions
Demiray, Hilmi (Pergamon-Elsevier Science Ltd., 2004-09)In the present work, by employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin elastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence ...