Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Title
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Hamiltonian dynamics on matched pairs
(World Scientific Publishing Co., 201611)The cotangent bundle of a matched pair Lie group, and its trivialization, are shown to be a matched pair Lie group. The explicit matched pair decomposition on the trivialized bundle is presented. On the trivialized space, ... 
Harmonic function for which the second dilatation is alphaspiral
(SPRINGER INTERNATIONAL PUBLISHING AG, 2012)Let f = h + (g) over bar be a harmonic function in the unit disc . We will give some properties of f under the condition the second dilatation is alphaspiral. 
Harmonic mappings for which coanalytic part is a closetoconvex function of order b
(SPRINGER INTERNATIONAL PUBLISHING AG, 20150116)In the present paper we investigate a class of harmonic mappings for which the second dilatation is a closetoconvex function of complex order b, b is an element of C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):11011108, ... 
Harmonic mappings related to Janowski starlike functions
(ELSEVIER SCIENCE BV, 201411)The main purpose of the present paper is to give the extent idea which was introduced by Robinson(1947) [6]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings ... 
Harmonic mappings related to the mfold starlike functions
(Elsevier Science Inc, 20150915)In the present paper we will give some properties of the subclass of harmonic mappings which is related to mfold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ... 
Headon collision of solitary waves in fluidfilled elastic tubes
(PergamonElsevier Science ltd, 200508)In this work, treating the arteries as a thin walled, prestressed thin elastic tube and the blood as an inviscid fluid, we have studied the propagation of nonlinear waves, in the longwave approximation, through the use of ... 
Headon collision of the solitary waves in fluidfilled elastic tubes
(Turkic World Mathematical Soc, 20180101)In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the headon collision of solitary waves in arteries. Introducing a set of stretched coordinates ... 
Headoncollision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube
(PERGAMONELSEVIER SCIENCE LTD, 20090830)In this work, treating the arteries as a thin walled, prestressed elastic tube and the blood as an incompressible viscous fluid of variable viscosity, we have studied the interactions of two nonlinear waves, in the long ... 
Higher order perturbation expansion for ionacoustic solitary waves with qnonextensive nonthermal velocity distribution
(Turkic World Mathematical Soc, 2018)The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid qnonextensive nonthermal velocity distribution are examined through the use of ... 
Higher order perturbation expansion of waves in water of variable depth
(Elsevier Ltd, 201001)In this work, we extended the application of "the modified reductive perturbation method" to long waves in water of variable depth and obtained a set of KdV equations as the governing equations. Seeking a localized travelling ... 
A higherorder Boussinesq equation in locally nonlinear theory of onedimensional nonlocal elasticity
(Oxford Univ Press, 200902)In one space dimension, a nonlocal elastic model is based on a single integral law, giving the stress when the strain is known at all spatial points. In this study, we first derive a higherorder Boussinesq equation using ... 
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 ... 
Hochschild cohomology of reduced incidence algebras
(World Scientific Publishing Co. Pte Ltd., 201709)We compute the continuous Hochschild cohomology of four reduced incidence algebras: the algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian power series, and the algebra of ... 
Hopfcyclic cohomology of quantum enveloping algebras
(European Mathematical Society Publishing House, 2016)In this paperwe calculate both the periodic and nonperiodic Hopfcyclic cohomology of DrinfeldJimbo quantum enveloping algebra Uq.g/ for an arbitrary semisimple Lie algebra g with coefficients in a modular pair in ... 
Hopfcyclic cohomology of the ConnesMoscovici Hopf algebras with infinite dimensional coefficients
(Springer Heidelberg, 20181201)We discuss a new strategy for the computation of the Hopfcyclic cohomology of the ConnesMoscovici Hopf algebra Hn. More precisely, we introduce a multiplicative structure on the Hopfcyclic complex of Hn, and we show ... 
Hopfdihedral (co)homology and Ltheory
(European Mathematical Soc, 2018)We develop an appropriate dihedral extension of the ConnesMoscovici characteristic map for Hopf *algebras. We then observe that one can use this extension together with the dihedral Chern character to detect nontrivial ... 
Hyperbolic submanifolds with finite type hyperbolic Gauss map
(WORLD SCIENTIFIC PUBL CO PTE LTD, 201502)We study submanifolds of hyperbolic spaces with finite type hyperbolic Gauss map. First, we classify the hyperbolic submanifolds with 1type hyperbolic Gauss map. Then we prove that a nontotally umbilical hypersurface Mn ... 
Interaction of nonlinear waves governed by Boussinesq equation
(Elsevier Ltd, 200612)In the present work, the nonlinear interactions of two acoustical waves governed by the Boussinesq equation with different wave numbers, frequencies and the group velocities are examined. For that purpose, we used 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 ... 
Interactions of nonlinear electronacoustic solitary waves with vortex electron distribution
(AMER INST PHYSICS, 201502)In the present work, based on a one dimensional model, we consider the headoncollision of nonlinear electronacoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortexlike ...