Konu "Nonlinear equations" için Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 41, listelenen: 1-20
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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 analytical solution to the dissipative nonlinear Schrodinger equation
(Elsevier Science, 2003-12-20)Motivated with a solitary wave type of solution to the nonlinear Schrodinger (NLS) equation, in this work we shall seek a travelling wave solution to the dissipative NLS equation by use of the hyperbolic tangent method. ... -
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. ... -
Closing the gap in the purely elliptic generalized Davey-Stewartson system
(Pergamon-Elsevier Science Ltd, 2008-10-15)In this note we improve the results presented previously on global existence and global nonexistence for the Solutions of the purely elliptic generalized Davey-Stewartson system. These results left a gap in the parameter ... -
Complex travelling wave solutions to the KdV and Burgers equations
(Elsevier Science Inc, 2005-03)In the present work, making use of the hyperbolic tangent method, some complex travelling wave solutions to the Korteweg-deVries and Burgers equations are obtained. It is observed that the real part of the Solution for the ... -
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 ... -
Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: strongly dispersive case
(Pergamon-Elsevier Science, 2003-07)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, and then utilizing the modified reductive ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 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 ... -
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 ...