Volume 16 – Issue 3

Considering cylindrically symmetric spacetimes and its a specific case, Gödel spacetime, we study Brans-Dicke theory and find the identities under which deceleration parameter and scalar field can be calculated. As an example we take a particular case of matter dominant universe. More specifically, we show that a constant curvature cylindrically symmetric spacetime must have a scalar field of exponential type in radial and time coordinates.

In this paper, the normal curvatures of hypersurfaces are investigated under conformal, homothety and isometry maps. At first, an equation is obtained between normal curvatures of hypersurfaces, if conformal map which defined between hypersurfaces in ܧ ௡is a homothety. In the last section, it is shown that first and second fundamental forms of hypersurfaces are invariant if conformal map is an isometry.

In this paper, using different kind of representations for Gauss hypergeometric function _2F_1 (.) , we establish seven theorems for the Saigo operators of fractional integration. The theorems established in this paper are of general character.

In this paper, the MacWilliams identities for the linear codes over D=Z_4 + uZ_4 +vZ_4, u^2 = u, v^2 = v, uv=vu =0 are studied and some properties of MDS codes over ܦ are discussed.

The aim of this paper is to study the Bertrand B-curve and the Bertrand Bpair curves according to BishopII frame in Euclidean space. First, we define Bertrand Bcurve, Bertrand B-pair curves and study the properties of the Bertrand B-curves by using BishopII frame. Second, we examine the relationships between the Bishop curvatures of the Bertrand B-pair curves with respect to each other.

For a linear map T:V→ V where V is a vector space, there are two special subspaces: the kernel (ker T) and the image (ImT = T(V)) with dimensions ݀d(T) (the defect of T), respectively r(T)(the rank of T). In this paper we characterize some special linear maps (projections, symmetries and tripotent maps) using only these subspaces and their dimensions.

In this article one of the most reliable and effective method, (G’/ G,1/G) – expansion method has been employed to obtain exact traveling wave solutions of highly nonlinear partial differential equations (PDEs). The set of abundant exact traveling wave solutions of two very important nonlinear evolution equations of mathematical physics, i.e., modified Benjamin-Bona-Mahony (mBBM) and (2 + 1)-dimensional CalogeroBogoyavlenskii-Schiff (CBS) equations are developed. The comparison of the obtained numerical results with the existing along with the graphical representation is presented. It is shown that the Bi variable (G’/ G,1/ G) -expansion method is a potent and very concise mathematical technique for solving nonlinear problems.

In this research work, a computational method which is based on the Variational Iteration Method (VIM) is used for the numerical solution of the coupled system of nonlinear partial differential equations. Numerical examples are presented to show the convergence and accuracy of the method.

Liquid crystals are unique functional soft materials where the direction of alignment can be easily controlled by external fields or by suitably treated surfaces. This simplicity of control has made liquid crystals very attractive materials for applications, particularly as the active medium in displays. These properties open a route for inclusion of carbon nanotubes in liquid crystals where the host’s liquid crystalline phase gives an ordering effect on the carbon nanotubes doped into it. This ordering of carbon nanotubes significantly enhances the liquid crystals electro-optic properties and other physical parameters. In this review paper we have briefly reviewed the research on dispersion and alignment of carbon nanotubes liquid crystalline phases.

The ^246 _96Cm _150 isotope in SU(3) – O(6) transition region were investigated. For this nuclei, The interacting boson model (IBM-1) was used to study the nuclear structure of ^246 _96Cm _150 isotope. The (IBSS1. For) program was used to find the energy levels and calculate the energy ratios and quantum transitions depends on the total number for bosons (N). The energy levels was classified according to the (g,β,γ- band) and determined the behavior of this isotope according to the experimental values of energy levels and their ratios and bands arrangement. The potential energy surface was also studied. As spin and parity for some energy levels, which were not exactly determined experimentally have been determined, It was assuring that spin and parity for energy levels number (3) and predication to spin and parity for the energy levels number (19).The results are compared with the most recent experimental data. Good agreement was obtained between our theoretical calculations for this under study isotope and simple different in some energy levels.