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Toplam kayıt 12, listelenen: 1-10
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 ...
Global existence and nonexistence results for a generalized Davey-Stewartson system
(IOP Publishing, 2004-12-03)
We consider a system of three equations, which will be called generalized Davey-Stewartson equations, involving three coupled equations, two for the long waves and one for the short wave propagating in an infinite elastic ...
The dynamic response of an incompressible non-linearly elastic membrane tube subjected to a dynamic extension
(Pergamon-Elsevier Science Ltd, 2004-06)
The dynamic response of an isotropic hyperelastic membrane tube, subjected to a dynamic extension at its one end, is studied. In the first part of the paper, an asymptotic expansion technique is used to derive a non-linear ...
Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes
(Elsevier Inc, 2004-02-05)
Using the nonlinear differential equations governing the motion of a fluid-filled and prestressed long thin elastic tube, the propagation of nonlinear waves-near the marginal state is examined through the use of reductive ...
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 ...
A travelling wave solution to the KdV-Burgers equation
(Elsevier Inc, 2004-07-15)
In the present work, by introducing a new potential function and by using the hyperbolic tangent method and an exponential rational function approach, a travelling wave solution to the KdV-Burgers (KdVB) equation is ...
Two-dimensional wave packets in an elastic solid with couple stresses
(Pergamon-Elsevier Science Ltd, 2004-08)
The problem of (2+1) (two spatial and one temporal) dimensional wave propagation in a bulk medium composed of an elastic material with couple stresses is considered. The aim is to derive (2+1) non-linear model equations ...
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 ...
A new theory of complex rays
(Oxford Univ Press, 2004-12)
A new approach to the theory of complex rays is presented. It is shown that the three-dimensional Minkowski space, the variant of the well known four-dimensional space-time Minkowski space of the special theory of relativity, ...
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 ...