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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 ...
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 ...
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 ...
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 ...
An analysis of higher order terms for ion-acoustic waves by use of the modified Poincar,-Lighthill-Kuo method
(Springer India, 2015-10)
In this work, by utilizing the modified Poincar,-Lighthill-Kuo (PLK) method, we studied the propagation of weakly nonlinear waves in a collisionless cold plasma and obtained the governing evolution equations of various ...
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 ...
