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Recent Submissions

Book Review: Oktay Veliyev. Multidimensional Periodic Schrödinger Operator (Perturbation Theory and Applications)
(Işık University Press, 2015)[No abstract available] 
Second order Lagrangian dynamics on double cross product groups
(Elsevier B.V., 202102)We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd ... 
Some results on a subclass of harmonic mappings of order alpha
(Işık University Press, 20131012)Let SH be the class of harmonic mappings defined by SH  {f  h(z) + <(g(z))over bar> vertical bar h(z)  z + Sigma(infinity)(n=2)a(n)z(n) , g(z)  b(1)z + Sigma(infinity)(n=2) b(n)z(n), b(1) < 1} where h(z) and g(z) are ... 
Harmonic mappings related to starlike function of complex order α
(Işık University Press, 20131012)Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z) h(z) = z + ∑∞ n=2 anz n, g(z) = ∑∞ n=1 bnz n } The purpose of this talk is to present some results about harmonic mappings which was introduced ... 
Contribution of higher order terms to the nonlinear shallow water waves
(Işık University Press, 20120512)In this work, by utilizing the scaled multiplespace expansion method, we studied the propagation of weakly nonlinear waves in shallow water and obtained the governing evolution equations of various order terms in the ... 
An application of modified reductive perturbation method to symmetric regularizedlongwave
(Işık University Press, 20110324)In this work, we extended the application of "the modified reductive perturbation method" to symmetrical regularized long waves with quadratic nonlinearity and obtained various form of KdV equations as the governing ... 
Analytical approximate solutions for nonplanar Burgers equations by weighted residual method
(Elsevier B.V., 20200813)In this work, analytical approximate progressive wave solutions for the generalized form of the nonplanar KdVBurgers (KdVB) and mKdVBurgers (mKdVB) equations are presented and the results are discussed. Motivated with ... 
On the Hochschild homology of smash biproducts
(Elsevier B.V., 20200715)We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension ... 
A note on the cylindrical waves with transverse distortion in a plasma with vortex electron distribution
(Işık University Press, 20200120)In the present work, employing the conventional reductive perturbation method and the nonlinear field equations of a plasma consisting of a cold electron uid, hot electrons obeying a nonisothermal (trapped/vortexlike) ... 
Analysis of periodic and solitary waves in a magnetosonic quantum dusty plasma
(Springer, 20200616)The propagation of nonlinear magnetosonic waves in electron–ion–dust (complex) plasmas has been studied by considering the effects of Bohm potential in the presence of an external magnetic field. By using the quantum ... 
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. 
On progressive wave solution for nonplanar KDV equation in a plasma with qnonextensive electrons and two oppositely charged ions
(Işık University Press, 20190315)In this paper, the ionacoustic wave is investigated in a plasma with qnonextensive electrons and two oppositely charged ions with varying masses. These parameters are found to modify the linear dispersion relation and ... 
Laplacian eigenvectors of graphs: PerronFrobenius and FaberKrahn type theorems
(Springer Verlag, 2007)[No abstract available] 
HomLieHopf algebras
(Academic Press Inc., 20200701)We studied both the double cross product and the bicrossproduct constructions for the HomHopf algebras of general (α,β)type. This allows us to consider the universal enveloping HomHopf algebras of HomLie algebras, which ... 
Nonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed kortewegde vries equation
(Springer Science and Business Media, LLC, 2008)In the present work, treating the artery as a prestressed thinwalled and long circularly cylindrical elastic tube with a mild symmetrical stenosis and the blood as an incompressible Newtonian fluid, we have studied the ... 
Rotational Weingarten surfaces in hyperbolic 3space
(Birkhauser, 20200401)We study rotational Weingarten surfaces in the hyperbolic space H3( 1) with the principal curvatures κ and λ satisfying a certain functional relation κ= F(λ) for a given continuous function F. We determine profile curves ... 
Analytical solution for nonplanar waves in a plasma with qnonextensive nonthermal velocity distribution:Weighted residual method
(Elsevier Ltd, 202001)The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid q nonextensive nonthermal velocity distribution are examined in the ... 
An approximate wave solution for perturbed KDV and dissipative NLS equations: weighted residual method
(Işık University Press, 20190621)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 ... 
Spacelike surfaces in the Minkowski Space E1(4) with pointwise 1type Gauss maps
(Springer, 201906)We first classify spacelike surfaces in the Minkowski space E1(4), de Sitter space S1(3), and hyperbolic space H3 with harmonic Gauss maps. Then we characterize and present a classification of the spacelike surfaces ...