Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Title
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Matched pair analysis of the Vlasov plasma
(American Institute of Mathematical SciencesAIMS, 202106)We present the Hamiltonian (LiePoisson) analysis of the Vlasov plasma, and the dynamics of its kinetic moments, from the matched pair decomposition point of view. We express these (LiePoisson) systems as couplings of ... 
Matched pairs of minvertible hopf quasigroups
(Institute of Mathematics, Academy of Sciences Moldova, 2020)The matched pair theory (of groups) is studied for a class of quasigroups; namely, the minverse property loops. The theory is upgraded to the Hopf level, and the minvertible Hopf quasigroups are introduced. 
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 ... 
Minimal rotational surfaces in the product space Q(?)(2) X S1
(World Scientific Publ Co Pte Ltd, 20180701)In this work, we study minimal rotational surfaces in the product space Q(2)epsilon x S1, where Q(2)epsilon denotes either the unit 2sphere S2 or the 2dimensional hyperbolic space H2 of constant curvature 1, according ... 
The modified reductive perturbation method as applied to Boussinesq equation: strongly dispersive case
(Elsevier Science Inc, 20050505)In this work, we extended the application of "the modified reductive perturbation method" to Boussinesq equation for strongly dispersive case and tried to obtain the contribution of higher order terms in the perturbation ... 
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 ... 
The modified reductive perturbation method as applied to the Boussinesq equation
(Verlag Z Naturforsch, 200708)In this work, we extended the application of "the modified reductive perturbation method" to long water waves and obtained the governing equations of Kortewegde Vries (KdV) hierarchy. Seeking localized travelling wave ... 
Modulation of cylindrical (spherical) waves in a plasma with vortex electron distribution
(American Institute of Physics Inc., 20180701)In the present work, employing cylindrically (spherically) symmetric field equations of a plasma consisting of a cold electron fluid, hot electrons obeying a trapped/vortexlike distribution and stationary ions, we studied ... 
Modulation of electronacoustic waves in a plasma with kappa distribution
(American Institute of Physics Inc., 201603)In the present work, employing a one dimensional model of an unmagnetized collisionless plasma consisting of a cold electron fluid, hot electrons obeying κ velocity distribution, and stationary ions, we study the amplitude ... 
Modulation of electronacoustic waves in a plasma with vortex electron distribution
(Walter De Gruyter GMBH, 201504)In the present work, employing a onedimensional model of a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortexlike distribution and stationary ions, we study the amplitude modulation of ... 
Modulation of generalized symmetric regularized longwave equation: generalized nonlinear Schrödinger equation
(Freund Publishing House Ltd, 201012)In this work, the application of "the modified reductive perturbation method" is extended to the generalized symmetric regularized longwave equation for strongly dispersive case and the contribution of higher order terms ... 
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 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 ... 
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 ... 
Modulation of nonlinear waves near the marginal state of instability in fluidfilled elastic tubes
(Elsevier Inc, 20040205)Using the nonlinear differential equations governing the motion of a fluidfilled and prestressed long thin elastic tube, the propagation of nonlinear wavesnear the marginal state is examined through the use of reductive ... 
Modulational instability of acoustic waves in a dusty plasma with nonthermal electrons and trapped ions
(PergamonElsevier Science Ltd, 201904)In the present work, employing the nonlinear field equations of a hot dusty plasma in the presence of nonthermal electrons and trapped ions, we studied the amplitude modulation of nonlinear waves in such a plasma medium ... 
Modulational instability of three dimensional waves in a plasma with vortex electron distribution
(Işık University Press, 20190210)In the present work, employing the three dimensional equations of a plasma composed of a cold electron fluid, hot electrons obeying a trapped / vortexlike distribution, and stationary ions, we study the amplitude modulation ... 
Multiple time scale formalism and its application to long water waves
(Elsevier Science Inc, 201005)In the present work, by employing the multiple time scaling method, we studied the nonlinear waves in shallowwater problem and obtained a set of KortewegdeVries equations governing the various order terms in the ... 
Multiplescale expansion for nonlinear ionacoustic waves
(Freund Publishing House Ltd, 201008)By employing the multiplescale expansion method, the present work examines nonlinear waves in a cold collision less plasma, in the longwave limit, and obtains a set of KdV equations governing various order terms in the ...