Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Issue Date
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A modified reductive perturbation method as applied to nonlinear ionacoustic waves
(Physical Society Japan, 199906)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 reductive perturbation method. Introducing the concept of ... 
Propagation of weakly nonlinear waves in fluidfilled thick viscoelastic tubes
(Elsevier Science Inc., 199910)In the present work, we studied the propagation of smallbutfiniteamplitude waves in a prestressed thick walled viscoelastic tube filled with an incompressible inviscid fluid. In order to include the dispersion, the ... 
Weakly nonlinear waves in a prestressed thin elastic tube containing a viscous fluid
(PergamonElsevier Science Ltd, 199911)In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible viscous fluid. In order to include the geometrical and structural dispersion into analysis, ... 
Modulation of nonlinear waves in a thin elastic tube filled with a viscous fluid
(PergamonElsevier Science Ltd, 199911)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 that ... 
On the realization of optical mappings and transformation of amplitudes by means of an aspherical "thick" lens
(Gustav Fischer Verlag, 2000)The constraints for the realization of a given optical mapping by means of an aspherical ''thick" lens are investigated by using the laws of geometrical optics. The analysis yields us a partial differential equation which ... 
On the contribution of higher order terms to solitary waves in fluid filled elastic tubes
(Birkhauser Verlag, 200001)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 ... 
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 ... 
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. ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
Nonlinear waves in a viscous fluid contained in a viscoelastic tube
(Birkhauser Verlag, 200111)In the present work the propagation of weakly nonlinear waves in a prestressed viscoelastic thin tube filled with a viscous fluid is studied. Using the reductive perturbation technique in analyzing the nonlinear equations ... 
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 ... 
Generalized circles in Weyl spaces and their conformal mapping
(Kossuth Lajos Tudomanyegyetem, Matematikai Intezet Nagyerdeikorut, 200202)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 ... 
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 ... 
A note on the travelling wave solution to the perturbed Burgers' equation
(Elsevier Science, 200206)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 ionacoustic waves: strongly dispersive case
(Physical Soc Japan, 200208)Contribution of higher order terms in the perturbation expansion for the strongly dispersive ionplasma waves is examined through the use of modified reductive perturbation method developed by us [J. Phys. Soc. Jpn. 68 ...