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Toplam kayıt 56, listelenen: 1-10
Head-on collision of the solitary waves in fluid-filled elastic tubes
(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 ...
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 ...
An application of modified reductive perturbation method to long water waves
(Pergamon-Elsevier Science Ltd, 2011-12)
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 ...
A note on the amplitude modulation of symmetric regularized long-wave equation with quartic nonlinearity
(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 ...
Nonlinear waves in an elastic tube with variable prestretch filled with a fluid of variable viscosity
(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 ...
Interactions of nonlinear ion-acoustic waves in a collisionless plasma
(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) ...
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 ...
On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions
(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 ...
An analysis of higher order terms for ion-acoustic waves by use of the modified Poincar,-Lighthill-Kuo method
(Springer India, 2015-10)
In this work, by utilizing the modified Poincar,-Lighthill-Kuo (PLK) method, we studied the propagation of weakly nonlinear waves in a collisionless cold plasma and obtained the governing evolution equations of various ...
Re-visiting the head-on collision problem between two solitary waves in shallow water
(Pergamon-Elsevier Science Ltd, 2015-03)
Upon discovering the wrongness of the statement "although this term does not cause any secularity for this order it will cause secularity at higher order expansion, therefore, that term must vanish" by Su and Mirie [4], ...