Browsing by Author "Demiray, Hilmi"
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Amplitude modulation of nonlinear waves in a fluidfilled tapered elastic tube
Demiray, Hilmi (WileyV C H Verlag, 2003)In the present work, treating the arteries as a tapered, thin walled, long, and circularly conical prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear ... 
Amplitude modulation of nonlinear waves in a fluidfilled tapered elastic tube
Bakırtaş, İlkay; Demiray, Hilmi (Elsevier Science Inc, 200407)In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear ... 
Amplitude modulation of nonlinear waves in fluidfilled tapered tubes
Bakırtaş, İlkay; Demiray, Hilmi (Consultants Bureau, 200312)We study the modulation of nonlinear waves in fluidfilled prestressed tapered tubes. For this, we obtain the nonlinear dynamical equations of motion of a prestressed tapered tube filled with an incompressible inviscid ... 
An analysis of higher order terms for ionacoustic waves by use of the modified Poincar,LighthillKuo method
Demiray, Hilmi (Indian Nat Sci Acad, 201510)In this work, by utilizing the modified Poincar,LighthillKuo (PLK) method, we studied the propagation of weakly nonlinear waves in a collisionless cold plasma and obtained the governing evolution equations of various ... 
An analytical solution to the dissipative nonlinear Schrodinger equation
Demiray, Hilmi (Elsevier Science, 20031220)Motivated with a solitary wave type of solution to the nonlinear Schrodinger (NLS) equation, in this work we shall seek a travelling wave solution to the dissipative NLS equation by use of the hyperbolic tangent method. ... 
Analytical solutions of cylindrical and spherical dust ionacoustic solitary waves
ElZahar, Roshdy Essam; Demiray, Hilmi (Elsevier B.V., 201906)In the present work, employing the conventional reductive perturbation method to the field equations of an unmagnetized dusty plasma consisting of inertial ions, Boltzmann electrons and stationary dust particles in the ... 
An application of modified reductive perturbation method to long water waves
Demiray, Hilmi (PERGAMONELSEVIER SCIENCE LTD, 201112)In this work, we extended the application of "the modified reductive perturbation method" to long water waves and obtained the governing equations as the KdV hierarchy. Seeking a localized travelling wave solutions to these ... 
An application of multipletime scale perturbation method to nonlinear ionacoustic waves
Demiray, Hilmi (PHYSICAL SOC JAPAN, 201202)In this work, by utilizing the multipletime scale expansion method, we studied the propagation of weakly nonlinear waves in a collisionless cold plasma and obtained the governing evolution equations of various order terms ... 
An Application of the Modified Reductive Perturbation Method to a Generalized Boussinesq Equation
Demiray, Hilmi (WALTER DE GRUYTER GMBH, 201302)In this work, we apply "the modified reductive perturbation method" to the generalized Boussinesq equation and obtain various form of generalized KdV equations as the evolution equations. Seeking a localized travelling ... 
The boundary layer approximation and nonlinear waves in elastic tubes
Antar, Nalan; Demiray, Hilmi (PergamonElsevier Science, 200009)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and approximate equations of an incompressible viscous fluid, the propagation of weakly nonlinear waves is examined. ... 
A complex travelling wave solution to the KdVBurgers equation
Demiray, Hilmi (Elsevier Science bv, 200509)In the present work, making use of the hyperbolic tangent method a complex travelling wave solution to the KdVBurgers equation is obtained. It is observed that the real part of the solution is the combination of a shock ... 
Complex travelling wave solutions to the KdV and Burgers equations
Demiray, Hilmi (Elsevier Science Inc, 200503)In the present work, making use of the hyperbolic tangent method, some complex travelling wave solutions to the KortewegdeVries and Burgers equations are obtained. It is observed that the real part of the Solution for the ... 
Contribution of higher order terms in electronacoustic solitary waves with vortex electron distribution
Demiray, Hilmi (SPRINGER BASEL AG, 201412)The basic equations describing the nonlinear electronacoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortexlike distribution, and stationary ions, in the longwave limit, are ... 
Contribution of higher order terms in nonlinear ionacoustic waves: Strongly dispersive case
Demiray, Hilmi (Physical Soc Japan, 200208)Contribution of higher order terms in the perturbation expansion for the strongly dispersive ionplasma waves is examined through the use of modified reductive perturbation method developed by us [J. Phys. Soc. Jpn. 68 ... 
Contributions of higher order terms to nonlinear waves in fluidfilled elastic tubes: strongly dispersive case
Demiray, Hilmi (PergamonElsevier Science, 200307)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 electronacoustic plasma with vortex electron distribution
Demiray, Hilmi; Essam Roshdy, ElZahar (Amer Inst Physics, 201804)We consider the nonlinear propagation of electronacoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortexlike distribution, and stationary ions. The basic nonlinear equations ... 
The effect of a bump on wave propagation in a fluidfilled elastic tube
Demiray, Hilmi (PergamonElsevier Science Ltd., 200401)In the present work, treating the arteries as a thin walled prestressed elastic tube with variable crosssection, 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 KortewegdeVries(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 Renormalization Method
Demiray, Hilmi (WALTER DE GRUYTER GMBH, 201310)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 fluidfilled elastic tube with variable initial stretches
Demiray, Hilmi (PERGAMONELSEVIER SCIENCE LTD, 200911)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 ...