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Forced KdV equation in a fluid-filled elastic tube with variable initial stretches 

Demiray, Hilmi (Pergamon-Elsevier Science Ltd, 2009-11)
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 ...
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Nonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed korteweg-de vries equation 

Tay, Kim Gaik; Demiray, Hilmi; Tiong, Ong Chee (Springer Science and Business Media, LLC, 2008)
In the present work, treating the artery as a prestressed thin-walled and long circularly cylindrical elastic tube with a mild symmetrical stenosis and the blood as an incompressible Newtonian fluid, we have studied the ...
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Modulation of non-linear axial and transverse waves in a fluid-filled thin elastic tube 

Akgün, Güler; Demiray, Hilmi (Pergamon-Elsevier Science, 2000-07)
In the present work, utilizing the non-linear equations of a pre-stressed thin elastic tube filled with an incompressible inviscid fluid the propagation of weakly non-linear waves in such a medium is studied. Considering ...
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Weakly nonlinear waves in a viscous fluid contained in a viscoelastic tube with variable cross-section 

Demiray, Hilmi (Gauthier-Villars/Editions Elsevier, 2005-03)
In the present work, treating the arteries as a thin walled prestressed viscoelastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such ...
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Head-on collision of solitary waves in fluid-filled elastic tubes 

Demiray, Hilmi (Pergamon-Elsevier Science Ltd, 2005-08)
In this work, treating the arteries as a thin walled, prestressed thin elastic tube and the blood as an inviscid fluid, we have studied the propagation of nonlinear waves, in the longwave approximation, through the use of ...
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Weakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg-de Vries equation 

Demiray, Hilmi (Pergamon-Elsevier Science Ltd, 2010-09)
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 non-linear waves in water of variable depth. For ...
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Higher order perturbation expansion of waves in water of variable depth 

Demiray, Hilmi (Elsevier Ltd, 2010-01)
In this work, we extended the application of "the modified reductive perturbation method" to long waves in water of variable depth and obtained a set of KdV equations as the governing equations. Seeking a localized travelling ...
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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. ...
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Multiple time scale formalism and its application to long water waves 

Demiray, Hilmi (Elsevier Science Inc, 2010-05)
In the present work, by employing the multiple time scaling method, we studied the non-linear waves in shallow-water problem and obtained a set of Korteweg-deVries equations governing the various order terms in the ...
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An application of modified reductive perturbation method to long water waves 

Demiray, Hilmi (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 ...
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AuthorDemiray, Hilmi (24)Bakırtaş, İlkay (3)Akgün, Güler (1)Bayındır, Cihan (1)Tay, Kim Gaik (1)... View MoreSubject
Perturbation techniques (24)
Water waves (24)
Solitons (23)Korteweg-de Vries equation (22)Solitary waves (17)... View MorePublication Typearticle (22)conferenceObject (2)Languageeng (24)Publication CategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı (22)Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı (2)Access Typeinfo:eu-repo/semantics/closedAccess (24)Attribution-NonCommercial-NoDerivs 3.0 United States (1)Date Issued2010 - 2015 (6)2000 - 2009 (18)Full Text StatusWith Full Text (24)

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