Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Issue Date
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Modulation of nonlinear waves in a viscous fluid contained in a tapered elastic tube
(PergamonElsevier Science, 200210)In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and the blood as a Newtonian fluid, we have studied the amplitude modulation of nonlinear waves in ... 
A higherorder model for transverse waves in a generalized elastic solid
(PergamonElsevier Science, 200211)In the present study, the nonlinear modulation of transverse waves propagating in a generalized elastic solid is studied using a multiscale expansion of quasimonochromatic wave solutions. In particular, to include the ... 
A note on the solution of perturbed Kortewegde Vries equation
(Elsevier Science, 20021110)In this work, utilizing the hyperbolic tangent method, a travelling wave solution is presented for the perturbed Kortewegde Vries (KdV) equation, which was studied before by inverse scattering [Elements of soliton theory, ... 
Propagation of weakly nonlinear waves in fluidfilled thin elastic tubes
(Elsevier Science, 20021125)In the present work, we study the propagation of nonlinear waves in a prestressed thin elastic tube filled with an incompressible inviscid fluid. Considering the physiological conditions under which the arteries function, ... 
Amplitude modulation of nonlinear waves in a fluidfilled tapered elastic tube
(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 ... 
A note on the analytical solution to the modified perturbed Kortewegde Vries equation
(Elsevier Science, 20030125)Motivated with a solitary wave type of solution to modified Kortewegde 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 ... 
On the derivation of some nonlinear evolution equations and their progressive wave solutions
(PergamonElsevier Science, 200306)In the present work, utilizing the reductive perturbation method, the nonlinear equations of a prestressed viscoelastic thick tube filled with a viscous fluid are examined in the longwave approximation and some evolution ... 
Contributions of higher order terms to nonlinear waves in fluidfilled elastic tubes: strongly dispersive case
(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 ... 
Nonlinear wave modulation in a fluidfilled linearly tapered elastic tube
(GauthierVillars/Editions Elsevier, 200308)In the present work, treating the arteries as a thinwalled, linearly tapered, prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear waves in such a ... 
A note on the exact travelling wave solution to the KdVBurgers equation
(Elsevier Science, 200310)In the present note, by use of the hyperbolic tangent method, a progressive wave solution to the Kortewegde VriesBurgers (KdVB) equation is presented. The solution we introduced here is less restrictive and comprises ... 
Amplitude modulation of nonlinear waves in fluidfilled tapered tubes
(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 analytical solution to the dissipative nonlinear Schrodinger equation
(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. ... 
Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid
(PergamonElsevier Science Ltd, 200401)In the present work, treating the arteries as a tapered, thinwalled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly nonlinear waves ... 
The effect of a bump on wave propagation in a fluidfilled elastic tube
(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 ... 
Modulation of nonlinear waves near the marginal state of instability in fluidfilled elastic tubes
(Elsevier Inc, 20040205)Using the nonlinear differential equations governing the motion of a fluidfilled and prestressed long thin elastic tube, the propagation of nonlinear wavesnear the marginal state is examined through the use of reductive ... 
Solitary waves in a tapered prestressed fluidfilled elastic tube
(Birkhauser Verlag Ag, 200403)In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in ... 
The dynamic response of an incompressible nonlinearly elastic membrane tube subjected to a dynamic extension
(PergamonElsevier Science Ltd, 200406)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 nonlinear ... 
A travelling wave solution to the KdVBurgers equation
(Elsevier Inc, 200407)In the present work, by introducing a new potential function and by using the hyperbolic tangent method and an exponential rational function approach, a travelling wave solution to the KdVBurgers (KdVB) equation is ... 
Amplitude modulation of nonlinear waves in a fluidfilled tapered elastic tube
(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 ... 
Twodimensional wave packets in an elastic solid with couple stresses
(PergamonElsevier Science Ltd, 200408)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) nonlinear model equations ...