Browsing Mathematics / Matematik by Issue Date
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Applications of graph coloring
(Springer, 2005)A graph G is a mathematical structure consisting of two sets V(G) (vertices of G) and E(G) (edges of G). Proper coloring of a graph is an assignment of colors either to the vertices of the graphs, or to the edges, in such ... 
The Cauchy problem for the planar spinliquid model
(IOP Publishing, 2005)In this paper, we study the Cauchy problem of a twodimensional model for a moving ferromagnetic continuum and prove global existence and uniqueness of solutions. In addition, equivalence to the coupled system of nonlinear ... 
The NewtonWigner localization concept and noncommutative space
(Kluwer Academic Publishers, 2005)In the formulation of the NewtonWigner postulates for the relativistic localized states the hypothesis of commutativity of the position operator components is silently accepted as an evident fact. In the present work it ... 
The finite element method for MHD flow at high Hartmann numbers
(Elsevier, 200503)A stabilized finite element method using the residualfree bubble functions (RFB) is proposed for solving the governing equations of steady magnetohydrodynamic duct flow. A distinguished feature of the RFB method is the ... 
Soliton resonances for the MKPII
(Springer, 200507)Using the second flow (derivative reactiondiffusion system) and the third one of the dissipative SL(2, ℝ) KaupNewell hierarchy, we show that the product of two functions satisfying those systems is a solution of the ... 
Degenerate fourvirtualsoliton resonance for the KPII
(Springer, 200507)We propose a method for solving the (2+1)dimensional Kadomtsev Petviashvili equation with negative dispersion (KPII) using the second and third members of the disipative version of the AKNS hierarchy. We show that ... 
Vector shock soliton and the Hirota bilinear method
(Elsevier, 200510)The Hirota bilinear method is applied to find an exact shock soliton solution of the system reactiondiffusion equations for ncomponent vector order parameter, with the reaction part in form of the third order polynomial, ... 
Ecalculus at IZTECH
(Springer, 2006)In today's new economy, characterized by industrial revolutions, globalization and information technology changes traditional classroom and teaching methods. Calculus is the basic course for the fresher at university. ... 
On the importance of publickey validation in the MQV and HMQV key agreement protocols
(Springer, 2006)HMQV is a hashed variant of the MQV key agreement protocol proposed by Krawczyk at CRYPTO 2005. In this paper, we present some attacks on HMQV and MQV that are successful if public keys are not properly validated. In ... 
Casimir energies for some single cavities
(TÜBİTAK, 2006)Casimir energies for some single cavities. Casimir energies are discussed for some cavities. 
Hirota method for solving reactiondiffusion equations with generalized nonlinearity
(World Academic Press, 2006)The Hirota Method is applied to find an exact solitary wave solution to evolution equation with generalized nonlinearity. By introducing the power form of Hirota ansatz the bilinear representation for this equation is ... 
A Stabilizing subgrid for convectiondiffusion problem
(World Scientific Publishing, 200602)A stabilizing subgrid which consists of a single additional node in each triangular element is analyzed by solving the convectiondiffusion problem, especially in the case of small diffusion. The choice of the location of ... 
Analysis of a corner layer problem in anisotropic interfaces
(Southwest Missouri State University, 200603)We investigate a model of anisotropic diffuse interfaces in ordered FCC crystals introduced recently by Braun et al and Tanoglu et al [3, 18, 19], focusing on parametric conditions which give extreme anisotropy. For a ... 
Finite element method solution of electrically driven magnetohydrodynamic flow
(Elsevier, 200608)The magnetohydrodynamic (MHD) flow in a rectangular duct is investigated for the case when the flow is driven by the current produced by electrodes, placed one in each of the walls of the duct where the applied magnetic ... 
Symbolic computation of Petri nets
(Springer, 2007)Petri nets are receiving increasing attention from the scientific community during the last few years. They provide the users with a powerful formalism for describing and analyzing a variety of information processing systems ... 
New casimir energy calculations
(World Scientific Publishing, 2007)New Casimir energy results for massless scalar field in some 3 dimensional cavities are presented. We attempted to discuss the correlation between the sign and the magnitude of the energy and the shape of the cavities. ... 
Modules over Prüfer domains which satisfy the radical formula
(Cambridge University Press, 200701)In this paper we prove that if R is a Prüfer domain, then the Rmodule R ⊕ R satisfies the radical formula. © 2007 Glasgow Mathematical Journal Trust. 
Second order diffraction of water waves by a bottom mounted vertical circular cylinder and some related numerical problems
(American Society of Mechanical Engineers, 200702)A Hankel transformation is used to obtain the second order diffraction solution of vertical cylinder of circular cross section. The improper integral over the free surface is tackled carefully. The singularity at the free ... 
Dissipative hierarchies and resonance solitons for KPII and MKPII
(Elsevier, 200703)We show that dissipative solitons (dissipatons) of the second and the third members of SL(2,R) AKNS hierarchy give rise to the real solitons of KPII, while for SL(2,R) KaupNewell hierarchy they give solitons of MKPII. ... 
The resonant nonlinear Schrödinger equation in cold plasma physics. Application of BäcklundDarboux transformations and superposition principles
(Cambridge University Press, 200704)A system of nonlinear equations governing the transmission of uniaxial waves in a cold collisionless plasma subject to a transverse magnetic field is reduced to the recently proposed resonant nonlinear Schrödinger (RNLS) ...