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Bölüm: Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü × WoS Q: Q4 ×

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Listeleniyor 1 - 10 / 26
  • Küçük Resim
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    Asymptotic solutions of love wave propagation in a covered half-space with inhomogeneous initial stresses G(3)(1)
    (Işık University Press, 2015) Hasanoğlu, Elman; Negin, Masoud
    The dispersive behavior of Love waves in an elastic half-space substrate covered by an elastic layer under the effect of inhomogeneous initial stresses has been investigated. Classical linearized theory of elastic waves in initially stressed bodies for small deformations is used and the well-known WKB high-frequency asymptotic technique is applied for the theoretical derivations. Numerical results on the action of the influence of the initial stresses on the wave propagation velocity for a geophysical example are presented and discussed.
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    A characteristic map for compact quantum groups
    (Springer Heidelberg, 2017-09) Kaygun, Atabey; Sütlü, Serkan Selçuk
    We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra U-q(g) to the twisted cyclic cohomology of quantum group algebra O(G(q)). We also show that the Schmudgen-Wagner index cocycle associated with the volume form of the differential calculus on the standard Podles sphere O(S-q(2)) is in the image of this map.
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    An approximate wave solution for perturbed KDV and dissipative NLS equations: weighted residual method
    (Işık University Press, 2019-06-21) Demiray, Hilmi
    In the present work, we modified the conventional "weighted residual method" to some nonlinear evolution equations and tried to obtain the approximate progressive wave solutions for these evolution equations. For the illustration of the method we studied the approximate progressive wave solutions for the perturbed KdV and the dissipative NLS equations. The results obtained here are in complete agreement with the solutions of inverse scattering method. The present solutions are even valid when the dissipative effects are considerably large. The results obtained are encouraging and the method can be used to study the cylindrical and spherical evolution equations.
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    On progressive wave solution for non-planar KDV equation in a plasma with q-nonextensive electrons and two oppositely charged ions
    (Işık University Press, 2020) Demiray, Hilmi; El-Zahar, Essam Roshdy; Shan, Shaukat Ali
    In this paper, the ion-acoustic wave is investigated in a plasma with q-nonextensive electrons and two oppositely charged ions with varying masses. These parameters are found to modify the linear dispersion relation and nonlinear solitary structures. The reductive perturbation method is employed to derive modified Korteweg-de Vries (KdV) equation. To solve the obtained governing evolution equation, the exact solution in the planar geometry is obtained and used to obtain an analytical approximate progressive wave solution for the nonplanar evolution equation. The analytical approximate solution so obtained is compared with the numerical solution of the same nonplanar evolution equation and the results are presented in 2D and 3D figures. The results revealed that both solutions are in good agreement. A parametric study is carried out to investigate the effect of different physical parameters on the nonlinear evolution solution behavior. The obtained solution allows us to study the impact of various plasma parameters on the behavior of the nonplanar ion-acoustic solitons. The suitable application of the present investigations can be found in laboratory plasmas, where oppositely charged ions and nonthermal electrons dwell.
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    Homology of quantum linear groups
    (Int Press Boston, 2021-03-24) Kaygun, Atabey; Sütlü, Serkan
    For every n >= 1, we calculate the Hochschild homology of the quantum monoids M-q(n), and the quantum groups GL(q)(n) and SLq(n) with coefficients in a 1-dimensional module coming from a modular pair in involution.
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    Space-like surfaces in the Minkowski Space E-1(4) with pointwise 1-type Gauss maps
    (Springer, 2019-06) Dursun, Uğur; Turgay, Nurettin Cenk
    We first classify space-like surfaces in the Minkowski space E-1(4), de Sitter space S-1(3), and hyperbolic space H-3 with harmonic Gauss maps. Then we characterize and present a classification of the space-like surfaces with pointwise 1-type Gauss maps of the first kind. We also give some explicit examples.
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    Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures
    (Mathematical Society of The Repulic Of China, 2016-12) Dursun, Uğur; Turgay, Nurettin Cenk
    In this paper we consider Lorentzian surfaces in the 4-dimensional pseudo Riemannian sphere S-2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S-2(4)(1) whose Gaussian and normal curvatures are constants. We conclude that such surfaces have the Gaussian curvature 1/3 and the absolute value of normal curvature 2/3. We also give some explicit examples.
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    On spacelike rotational surfaces with pointwise 1-type gauss map
    (Korean Mathematical Soc, 2015-01) Dursun, Uğur
    In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4-spade E-1(4) with meridian curves lying in 2-dimensional spacelike planes and having pointwise 1-type Gauss map. We obtain all such surfaces with pointwise 1-type Gauss map of the first kind. Then we prove that the spacelike rotational surface with flat normal bundle and pointwise 1-type Gauss map of the second kind is an open part of a spacelike 2-plane in E-1(4).
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    Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients
    (Springer Heidelberg, 2018-12-01) Rangipour, Bahram; Sütlü, Serkan Selçuk; Aliabadi, F. Yazdani
    We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra Hn. More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of Hn, and we show that the van Est type characteristic homomorphism from the Hopf-cyclic complex of Hn to the Gelfand-Fuks cohomology of the Lie algebra Wn of formal vector fields on Rn respects this multiplicative structure. We then illustrate the machinery for n = 1.
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    On unfair permutations
    (Elsevier Science BV, 2018-10) Arslan, İlker; Işlak, Ümit; Pehlivan, Cihan
    In this paper we study the inverse of so-called unfair permutations. Our investigation begins with comparing this class of permutations with uniformly random permutations, and showing that they behave very much alike in case of locally dependent random variables. As an example of a globally dependent statistic we use the number of inversions, and show that this statistic satisfies a central limit theorem after proper centering and scaling.