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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 ...
Nonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed korteweg-de vries equation
(Springer Science and Business Media, LLC, 2008)
In the present work, treating the artery as a prestressed thin-walled and long circularly cylindrical elastic tube with a mild symmetrical stenosis and the blood as an incompressible Newtonian fluid, we have studied the ...
Weakly nonlinear waves in a viscous fluid contained in a viscoelastic tube with variable cross-section
(Gauthier-Villars/Editions Elsevier, 2005-03)
In the present work, treating the arteries as a thin walled prestressed viscoelastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such ...
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 ...
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 ...
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 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. ...
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 ...
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 ...