Konu "Perturbation techniques" için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 37, listelenen: 1-20
-
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 ... -
Analytical solution for nonplanar waves in a plasma with q-nonextensive nonthermal velocity distribution:Weighted residual method
(Elsevier Ltd, 2020-01)The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid q- nonextensive nonthermal velocity distribution are examined in the ... -
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 ... -
The boundary layer approximation and nonlinear waves in elastic tubes
(Pergamon-Elsevier Science, 2000-09)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and approximate equations of an incompressible viscous fluid, the propagation of weakly nonlinear waves is examined. ... -
Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution
(Amer Inst Physics, 2018-04)We consider the nonlinear propagation of electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. The basic nonlinear equations ... -
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 ... -
Forced KdV equation in a fluid-filled elastic tube with variable initial stretches
(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 ... -
Forced Korteweg-de Vries-Burgers equation in an elastic tube filled with a variable viscosity fluid
(Pergamon-Elsevier Science Ltd, 2008-11)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 ... -
Head-on collision of solitary waves in fluid-filled elastic tubes
(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 ... -
Head-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube
(Pergamon-Elsevier Science Ltd, 2009-08-30)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 ... -
Higher order perturbation expansion of waves in water of variable depth
(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 ... -
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 ... -
Interaction of nonlinear waves governed by Boussinesq equation
(Elsevier Ltd, 2006-12)In the present work, the nonlinear interactions of two acoustical waves governed by the Boussinesq equation with different wave numbers, frequencies and the group velocities are examined. For that purpose, we used the ... -
Localized travelling waves in a prestressed thick elastic tube
(Pergamon-Elsevier Science, 2001-10)In the present work, by using the exact non-linear equations of an incompressible inviscid fluid contained in a prestressed thick elastic tube, the propagation of localized travelling wave solution in such a medium is ... -
A method for higher-order expansion in non-linear ion-acoustic waves
(Pergamon-Elsevier Science, 2000-03)The basic equations describing the non-linear ion-acoustic waves in a cold collisionless plasma, in the longwave limit, is re-examined through the use of a modified multiple-scale expansion method. Expanding the field ... -
The modified reductive perturbation method as applied to Boussinesq equation: strongly dispersive case
(Elsevier Science Inc, 2005-05-05)In this work, we extended the application of "the modified reductive perturbation method" to Boussinesq equation for strongly dispersive case and tried to obtain the contribution of higher order terms in the perturbation ... -
Modulation of electron-acoustic waves in a plasma with kappa distribution
(American Institute of Physics Inc., 2016-03)In the present work, employing a one dimensional model of an unmagnetized collisionless plasma consisting of a cold electron fluid, hot electrons obeying κ velocity distribution, and stationary ions, we study the amplitude ... -
Modulation of non-linear axial and transverse waves in a fluid-filled thin elastic tube
(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 ... -
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 ... -
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 ...