Matematik Bölümü / Department of Mathematics
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Recent Submissions

Higher order approximations in reductive perturbation method: Strongly dispersive waves
(200508)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 early by us. It is shown that ... 
On some nonlinear waves in fluidfilled viscoelastic tubes: Weakly dispersive case
(200506)By employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin viscoelastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some ... 
Beam tracing theory in Minkowski space
(IEEE, 2011)This paper provides a novel approach to beam theory in homogeneous lossless mediun. The main idea is to interpret the classic eikonal equation in three dimensional Minkowski space. 
On complex solutions of the eikonal equation
(IEEE, 2007)In this paper a new approach of complex rays in an inhomogeneous medium is presented. Complex rays are complex solutions of the eikonal equation, the main equation of the geometical optics. It is shown that solving the ... 
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 ... 
Harmonic mappings related to Janowski convex functions of complex order b
(2013)Let SH be the class of all sensepreserving harmonic mappings in the open unit disc D = {z ∈ ℂz < 1}. In the present paper the authors investigate the properties of the class of harmonic mappings which is based on the ... 
Closetoconvex functions defined by fractional operator
(2013)Let S denote the class of functions f(z) = z + a2z2+... analytic and univalent in the open unit disc D = {z ∈ Cz<1}. Consider the subclass and S* of S, which are the classes ofconvex and starlike functions, respectively. ... 
Notes on starlike logharmonic functions of order α
(2013)For logharmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(?) and G*LH(?) of S*LH(?) consisting of all starlike logharmonic functions of order ? (0 ? ? < 1) are considered. The object of ... 
Modulational instability of three dimensional waves in a plasma with vortex electron distribution
(Turkic World Mathematical Soc, 2019)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 ... 
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 ... 
Variable coefficient KortewegdeVries equation in fluidfilled elastic tubes
(Technical University Liberec, 20110905)In the present work, treating the arteries as a prestressed thin elastic tube with a stenosis and the blood as an inviscid fluid, we have studied the propagation of weakly nonlinear waves in such a medium by use of the ... 
Classification of surfaces in a pseudo‐sphere with 2‐type pseudo‐spherical Gauss map
(Wiley, 201711)In this article, we study submanifolds in a pseudosphere with 2type pseudospherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudosphere S2(4) subset of E2(5) with zero mean curvature ... 
Asymptotic solutions of love wave propagation in a covered halfspace with inhomogeneous initial stresses G(3)(1)
(Turkic World Mathematical Soc, 2015)The dispersive behavior of Love waves in an elastic halfspace substrate covered by an elastic layer under the effect of inhomogeneous initial stresses has been investigated. Classical linearized theory of elastic waves ... 
CrossSectional Thermoacoustic Imaging Using MultiLayer Cylindrical Media
(IEEE, 20170819)For crosssectional twodimensional thermoacustic imaging of breast and brain, we explored solution of the wave equation using layered tissue model consisting of concentric annular layers on a cylindrical crosssection. ... 
Classification of surfaces in a pseudosphere with 2type pseudospherical Gauss map
(Wiley, 201711)In this article, we study submanifolds in a pseudosphere with 2type pseudospherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudosphere S2(4) subset of E2(5) with zero mean curvature ... 
Topological Hopf algebras and their Hopfcyclic cohomology
(Taylor and Francis, 20190129)A natural extension of the Hopfcyclic cohomology, with coefficients, is introduced to encompass topological Hopf algebras. The topological theory allows to work with infinite dimensional Lie algebras. Furthermore, the ... 
An inverse source problem connected with thermoacoustic imaging in multilayer planar medium
(Springer, 20190220)We derived analytical forward and inverse solution of thermoacoustic wave equation for nonhomogeneous medium. We modelled the nonhomogeneous medium as a multilayer planar medium and defined initial conditions, continuity ... 
Classification of surfaces in a pseudosphere with 2type pseudospherical Gauss map
(Wiley, 201711)In this article, we study submanifolds in a pseudosphere with 2type pseudospherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudosphere S2(4) subset of E2(5) with zero mean curvature ... 
Analytical solutions of cylindrical and spherical dust ionacoustic solitary waves
(Elsevier B.V., 201906)In the present work, employing the conventional reductive perturbation method to the field equations of an unmagnetized dusty plasma consisting of inertial ions, Boltzmann electrons and stationary dust particles in the ... 
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 ...