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Modulation of nonlinear waves in a viscous fluid contained in a tapered elastic tube
(Pergamon-Elsevier Science, 2002-10)
In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and the blood as a Newtonian fluid, we have studied the amplitude modulation of nonlinear waves in ...
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 ...
Weakly nonlinear waves in elastic tubes filled with a layered fluid
(Freund Publishing House, 2002)
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 core ...
A higher-order model for transverse waves in a generalized elastic solid
(Pergamon-Elsevier Science, 2002-11)
In the present study, the nonlinear modulation of transverse waves propagating in a generalized elastic solid is studied using a multi-scale expansion of quasi-monochromatic wave solutions. In particular, to include the ...
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, ...
A note on the solution of perturbed Korteweg-de Vries equation
(Elsevier Science, 2002-11-10)
In this work, utilizing the hyperbolic tangent method, a travelling wave solution is presented for the perturbed Korteweg-de Vries (KdV) equation, which was studied before by inverse scattering [Elements of soliton theory, ...
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 ...
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 ...
Generalized circles in Weyl spaces and their conformal mapping
(Kossuth Lajos Tudomanyegyetem, Matematikai Intezet Nagyerdeikorut, 2002-02)
In this paper, generalized circles in a Weyl space are defined and the system of differential equations satisfied by them is obtained. Furthermore, after having given the necessary and sufficient conditions for generalized ...