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Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid
(Wit Press, 2002)
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 reductive perturbation ...
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 ...
Nonlinear waves in a prestressed elastic tube filled with a layered fluid
(Pergamon-Elsevier Science, 2002-04)
In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible layered fluid, where the outer layer is assumed to be inviscid whereas the cylindrical ...
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 ...
Solitary waves in a tapered prestressed fluid-filled elastic tube
(Birkhauser Verlag Ag, 2004-03)
In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in ...
A note on the travelling wave solution to the perturbed Burgers' equation
(Elsevier Science, 2002-06)
In this work, utilizing the hyperbolic tangent method, a travelling wave solution is presented for the perturbed Burgers' equation. which has not been studied before in the existing literature. It is observed that the ...
A note on the interactions of nonlinear waves governed by the generalized boussinesq equation
(Azerbaijan National Acad Sci, 2014)
In this work, based on a one dimensional model, the interaction of two solitary waves propagating in opposite directions in a fluid whose equations are governed by the generalized Boussinesq equation, by use of the ...
A note on the exact travelling wave solution to the KdV-Burgers equation
(Elsevier Science, 2003-10)
In the present note, by use of the hyperbolic tangent method, a progressive wave solution to the Korteweg-de Vries-Burgers (KdVB) equation is presented. The solution we introduced here is less restrictive and comprises ...
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 ...
Contribution of higher order terms in nonlinear ion-acoustic waves: Strongly dispersive case
(Physical Soc Japan, 2002-08)
Contribution of higher order terms in the perturbation expansion for the strongly dispersive ion-plasma waves is examined through the use of modified reductive perturbation method developed by us [J. Phys. Soc. Jpn. 68 ...
