Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Publisher "PergamonElsevier Science Ltd"
Now showing items 120 of 21

An application of modified reductive perturbation method to long water waves
(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 ... 
Closing the gap in the purely elliptic generalized DaveyStewartson system
(PergamonElsevier Science Ltd, 20081015)In this note we improve the results presented previously on global existence and global nonexistence for the Solutions of the purely elliptic generalized DaveyStewartson system. These results left a gap in the parameter ... 
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 ... 
Forced KdV equation in a fluidfilled elastic tube with variable initial stretches
(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 ... 
Forced Kortewegde VriesBurgers equation in an elastic tube filled with a variable viscosity fluid
(PergamonElsevier Science Ltd, 200811)In the present work, treating the arteries as a prestressed thin walled elastic tube with a stenosis and the blood as a Newtonian fluid with variable viscosity, we have studied the propagation of weakly nonlinear waves in ... 
Headon collision of solitary waves in fluidfilled elastic tubes
(PergamonElsevier Science Ltd, 200508)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 ... 
Headoncollision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube
(PergamonElsevier Science Ltd, 20090830)In this work, treating the arteries as a thin walled, prestressed elastic tube and the blood as an incompressible viscous fluid of variable viscosity, we have studied the interactions of two nonlinear waves, in the long ... 
Modulation of nonlinear waves in a thin elastic tube filled with a viscous fluid
(PergamonElsevier Science Ltd, 199911)In the present work, utilizing the nonlinear equations of a prestressed thin elastic tube filled with an incompressible viscous fluid the propagation of weakly nonlinear waves in such a medium is studied. Considering that ... 
Modulational instability of acoustic waves in a dusty plasma with nonthermal electrons and trapped ions
(PergamonElsevier Science Ltd, 201904)In the present work, employing the nonlinear field equations of a hot dusty plasma in the presence of nonthermal electrons and trapped ions, we studied the amplitude modulation of nonlinear waves in such a plasma medium ... 
Nonlinear waves in an elastic tube with variable prestretch filled with a fluid of variable viscosity
(PergamonElsevier Science Ltd, 200810)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 ... 
Revisiting the headon collision problem between two solitary waves in shallow water
(PergamonElsevier Science Ltd, 201503)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], ... 
Reducing a generalized DaveyStewartson system to a nonlocal nonlinear Schrodinger equation
(PergamonElsevier Science Ltd, 20090730)In the present study, we consider a generalized (2 + 1) DaveyStewartson (GDS) system consisting of a nonlinear Schrodinger (NLS) type equation for the complex amplitude of a short wave and two asymmetrically coupled linear ... 
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 ... 
Variable coefficient modified KdV equation in fluidfilled elastic tubes with stenosis: Solitary waves
(PergamonElsevier Science Ltd, 20091015)In the present work, treating the arteries as a thin walled prestressed elastic tube with variable radius, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a fluidfilled ... 
Waves in an elastic tube filled with a heterogeneous fluid of variable viscosity
(PergamonElsevier Science Ltd, 200907)By treating the artery as a prestressed thin elastic tube and the blood as an incompressible heterogeneous fluid with variable viscosity. we studied the propagation of weakly nonlinear waves in such a composite medium ... 
Weakly nonlinear waves in a fluidfilled elastic tube with variable prestretch
(PergamonElsevier Science Ltd, 200811)In the present work, by utilizing the nonlinear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable prestretch both in the axial and the radial directions and the approximate ... 
Weakly nonlinear waves in a tapered elastic tube filled with an inviscid fluid
(PergamonElsevier Science Ltd, 200507)In the present work, treating the artery 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 ... 
Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube
(PergamonElsevier Science Ltd, 200804)In this work, treating the artery as a prestressed thin elastic tube and the blood as an incompressible Newtonian fluid with variable viscosity which vanishes on the boundary of the tube, the propagation of nonlinear waves ... 
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 ... 
Weakly nonlinear waves in a prestressed thin elastic tube containing a viscous fluid
(PergamonElsevier Science Ltd, 199911)In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible viscous fluid. In order to include the geometrical and structural dispersion into analysis, ...