Konu "Evolution equations" için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 20, listelenen: 1-20
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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 ... -
Contribution of higher order terms in electron-acoustic solitary waves with vortex electron distribution
(Springer Basel AG, 2014-12)The basic equations describing the nonlinear electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions, in the long-wave limit, are ... -
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 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 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 ... -
Modulation of cylindrical (spherical) waves in a plasma with vortex electron distribution
(American Institute of Physics Inc., 2018-07-01)In the present work, employing cylindrically (spherically) symmetric field equations of a plasma consisting of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution and stationary ions, we studied ... -
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 ? velocity distribution, and stationary ions, we study the amplitude ... -
Multiple time scale formalism and its application to long water waves
(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 ... -
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 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 wave propagation in water of variable depth
(Elsevier Science Inc, 2011-11-01)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 nonlinear waves in water of variable depth. For ... -
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], ... -
Reducing a generalized Davey-Stewartson system to a non-local nonlinear Schrodinger equation
(Pergamon-Elsevier Science Ltd, 2009-07-30)In the present study, we consider a generalized (2 + 1) Davey-Stewartson (GDS) system consisting of a nonlinear Schrodinger (NLS) type equation for the complex amplitude of a short wave and two asymmetrically coupled linear ... -
Variable coefficient modified KdV equation in fluid-filled elastic tubes with stenosis: Solitary waves
(Pergamon-Elsevier Science Ltd, 2009-10-15)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 fluid-filled ... -
Waves in an elastic tube filled with a heterogeneous fluid of variable viscosity
(Pergamon-Elsevier Science Ltd, 2009-07)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 non-linear waves in such a composite medium ... -
Weakly non-linear waves in a fluid-filled elastic tube with variable prestretch
(Pergamon-Elsevier Science Ltd, 2008-11)In the present work, by utilizing the non-linear 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 water of variable depth: Variable-coefficient Korteweg-de Vries equation
(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 ...