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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 ...
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, ...
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 ...
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 ...
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. ...
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 ...
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 ...
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 ...
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 ...
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 ...