Yayın tarihi için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 218, listelenen: 21-40
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Modulation of nonlinear waves in a viscous fluid contained in a tapered elastic tube
(Pergamon-Elsevier Science, 2002-10)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 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 solution of perturbed Korteweg-de Vries equation
(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, ... -
Propagation of weakly nonlinear waves in fluid-filled thin elastic tubes
(Elsevier Science, 2002-11-25)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 fluid-filled tapered elastic tube
(Wiley-V 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 Korteweg-de Vries equation
(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 travelling wave solution to perturbed Burgers' equation (vol 26, pg 37, 2002)
(Elsevier Science, 2003-06)[No abstract available] -
On the derivation of some non-linear evolution equations and their progressive wave solutions
(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 ... -
Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: strongly dispersive case
(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 ... -
Nonlinear wave modulation in a fluid-filled linearly tapered elastic tube
(Gauthier-Villars/Editions Elsevier, 2003-08)In the present work, treating the arteries as a thin-walled, 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 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 ... -
Amplitude modulation of nonlinear waves in fluid-filled tapered tubes
(Consultants Bureau, 2003-12)We study the modulation of nonlinear waves in fluid-filled 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, 2003-12-20)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
(Pergamon-Elsevier Science Ltd, 2004-01)In the present work, treating the arteries as a tapered, thin-walled, long and circularly conical prestressed elastic tube and using the long-wave approximation, we have studied the propagation of weakly nonlinear waves ... -
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 ... -
Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes
(Elsevier Inc, 2004-02-05)Using the nonlinear differential equations governing the motion of a fluid-filled and prestressed long thin elastic tube, the propagation of nonlinear waves-near the marginal state is examined through the use of reductive ... -
Solitary waves in a tapered prestressed fluid-filled elastic tube
(Birkhauser Verlag AG, 2004-03)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 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 ... -
A travelling wave solution to the KdV-Burgers equation
(Elsevier Inc, 2004-07-15)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 KdV-Burgers (KdVB) equation is ... -
Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube
(Elsevier Science Inc, 2004-07-15)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 ...