Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Publisher "PergamonElsevier Science"
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The boundary layer approximation and nonlinear waves in elastic tubes
(PergamonElsevier Science, 200009)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and approximate equations of an incompressible viscous fluid, the propagation of weakly nonlinear waves is examined. ... 
Contributions of higher order terms to nonlinear waves in fluidfilled elastic tubes: strongly dispersive case
(PergamonElsevier Science, 200307)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 modified reductive ... 
A higherorder model for transverse waves in a generalized elastic solid
(PergamonElsevier Science, 200211)In the present study, the nonlinear modulation of transverse waves propagating in a generalized elastic solid is studied using a multiscale expansion of quasimonochromatic wave solutions. In particular, to include the ... 
Interactions of nonlinear acoustic waves in a fluidfilled elastic tube
(PergamonElsevier Science, 200103)In the present work, the nonlinear interactions of two acoustical waves propagating in a fluidfilled elastic tube with different wave numbers, frequencies and group velocities are examined. Employing the multiplescale ... 
Localized travelling waves in a prestressed thick elastic tube
(PergamonElsevier Science, 200110)In the present work, by using the exact nonlinear equations of an incompressible inviscid fluid contained in a prestressed thick elastic tube, the propagation of localized travelling wave solution in such a medium is ... 
A method for higherorder expansion in nonlinear ionacoustic waves
(PergamonElsevier Science, 200003)The basic equations describing the nonlinear ionacoustic waves in a cold collisionless plasma, in the longwave limit, is reexamined through the use of a modified multiplescale expansion method. Expanding the field ... 
Modulation of nonlinear axial and transverse waves in a fluidfilled thin elastic tube
(PergamonElsevier Science, 200007)In the present work, utilizing the nonlinear equations of a prestressed thin elastic tube filled with an incompressible inviscid fluid the propagation of weakly nonlinear waves in such a medium is studied. Considering ... 
Modulation of nonlinear waves in a viscous fluid contained in an elastic tube
(PergamonElsevier Science, 200106)In the present work, utilizing the nonlinear equations of a prestressed thin elastic tube filled with an incompressible viscous fluid the propagation of weakly nonlinear waves in such a medium is studied. Considering ... 
Modulation of nonlinear waves in a viscous fluid contained in a tapered elastic tube
(PergamonElsevier Science, 200210)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
(PergamonElsevier Science, 200204)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 ... 
On the derivation of some nonlinear evolution equations and their progressive wave solutions
(PergamonElsevier Science, 200306)In the present work, utilizing the reductive perturbation method, the nonlinear equations of a prestressed viscoelastic thick tube filled with a viscous fluid are examined in the longwave approximation and some evolution ... 
Solitary waves in elastic tubes filled with a layered fluid
(PergamonElsevier Science, 200104)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 ... 
Solitary waves in fluidfilled elastic tubes: weakly dispersive case
(PergamonElsevier Science, 200103)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 ...