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Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid
(Pergamon-Elsevier Science Ltd, 2004-01)
In the present work, treating the arteries as a tapered, thin-walled, long and circularly conical prestressed elastic tube and using the long-wave approximation, we have studied the propagation of weakly nonlinear waves ...
Solitary waves in fluid-filled elastic tubes: weakly dispersive case
(Pergamon-Elsevier Science, 2001-03)
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, the propagation of weakly nonlinear waves, in ...
Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube
(Elsevier Science Inc, 2004-07-15)
In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear ...
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 ...
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 ...
Coupled quintic nonlinear Schrodinger equations in a generalized elastic solid
(IOP Publishing Ltd, 2004-10-08)
In the present study, the nonlinear modulation of transverse waves propagating in a cubically nonlinear dispersive elastic medium is studied using a multiscale expansion of wave solutions. It is found that the propagation ...
The effect of a bump on wave propagation in a fluid-filled elastic tube
(Pergamon-Elsevier Science Ltd., 2004-01)
In the present work, treating the arteries as a thin walled prestressed elastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a ...
On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions
(Pergamon-Elsevier Science Ltd., 2004-09)
In the present work, by employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin elastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence ...
Solitary waves in elastic tubes filled with a layered fluid
(Pergamon-Elsevier Science, 2001-04)
In this work, we studied the propagation of weakly non-linear 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 ...
Propagation of weakly nonlinear waves in fluid-filled thin elastic tubes
(Elsevier Science, 2002-11-25)
In the present work, we study the propagation of nonlinear waves in a prestressed thin elastic tube filled with an incompressible inviscid fluid. Considering the physiological conditions under which the arteries function, ...