Konu "Korteweg-de Vries equation" için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 62, listelenen: 21-40
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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 ... -
Interactions of nonlinear acoustic waves in a fluid-filled elastic tube
(Pergamon-Elsevier Science, 2001-03)In the present work, the nonlinear interactions of two acoustical waves propagating in a fluid-filled elastic tube with different wave numbers, frequencies and group velocities are examined. Employing the multiple-scale ... -
Interactions of nonlinear electron-acoustic solitary waves with vortex electron distribution
(American Institute of Physics Inc., 2015-02-01)In the present work, based on a one dimensional model, we consider the head-on-collision of nonlinear electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like ... -
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) ... -
Interactions of nonlinear waves in fluid-filled elastic tubes
(Verlag Z Naturforsch, 2007-02)In this work, treating an artery as a prestressed thin-walled elastic tube and the blood as an inviscid fluid, the interactions of two nonlinear waves propagating in opposite directions are studied in the longwave approximation ... -
A modified reductive perturbation method as applied to nonlinear ion-acoustic waves
(Physical Society Japan, 1999-06)The basic equations describing the nonlinear ion-acoustic waves in a cold collisionless plasma, in the longwave limit, is re-examined through the use of a modified reductive perturbation method. Introducing the concept of ... -
Modulation of generalized symmetric regularized long-wave equation: generalized nonlinear Schrödinger equation
(Freund Publishing House Ltd, 2010-12)In this work, the application of "the modified reductive perturbation method" is extended to the generalized symmetric regularized long-wave equation for strongly dispersive case and the contribution of higher order terms ... -
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 thin elastic tube filled with a viscous fluid
(Pergamon-Elsevier Science Ltd, 1999-11)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 ... -
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 ... -
Non-linear waves in a fluid-filled inhomogeneous elastic tube with variable radius
(Pergamon-Elsevier Scıence Ltd, 2008-05)In the present work, by employing the non-linear equations of motion of an incompressible, inhomogeneous, isotropic and prestressed thin elastic tube with variable radius and the approximate equations of an inviscid fluid, ... -
Non-linear waves in a viscous fluid contained in an elastic tube with variable cross-section
(Elsevier Ltd, 2006-04)In the present work, treating the large arteries as a thin-walled, long and circularly cylindrical, prestressed elastic tube with variable cross-section and using the reductive perturbation method, we have studied the ... -
Nonlinear wave modulation in a fluid-filled elastic tube with stenosis
(Verlag Z Naturforsch, 2008-01)In the present work, treating the arteries as a thin-walled and prestressed elastic tube with a stenosis and the blood as a Newtonian fluid with negligible viscosity, we have studied the amplitude modulation of nonlinear ... -
Nonlinear waves in a prestressed elastic tube filled with a layered fluid
(Pergamon-Elsevier Science, 2002-04)In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible layered fluid, where the outer layer is assumed to be inviscid whereas the cylindrical ... -
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 ... -
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 ... -
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 cylindrical solitary waves in an electron-acoustic plasma with vortex electron distribution
(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. ... -
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 ...