Browsing Mathematics / Matematik by Issue Date
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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, ... 
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. 
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. ... 
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. ... 
Applying Mathematica and webMathematica to graph coloring
(Elsevier, 200706)This paper analyzes some graph issues by using the symbolic program Mathematica and its version for the Web, webMathematica. In particular, we consider the problem of graph coloring: the assignment of colors to the ... 
Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method
(Springer, 200707)We use the Hirota bilinear approach to consider physically relevant soliton solutions of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions, recently proposed for describing uniaxial waves in ... 
Abelian ChernSimons vortices and holomorphic Burgers hierarchy
(Springer, 200707)We consider the Abelian ChernSimons gauge field theory in 2+1 dimensions and its relation to the holomorphic Burgers hierarchy. We show that the relation between the complex potential and the complex gauge field as in ... 
Solitary wave solution of nonlinear multidimensional wave equation by bilinear transformation method
(Elsevier, 200710)The Hirota method is applied to construct exact analytical solitary wave solutions of the system of multidimensional nonlinear wave equation for ncomponent vector with modified background. The nonlinear part is the ... 
Extensions of weakly supplemented modules
(Mathematica Scandinavica, 2008)It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U are weakly supplemented then M need not be weakly supplemented). We prove that, if U has a weak supplement in M then M is ... 
Comparing the pre and postspecified peer models for key agreement
(Springer, 2008)In the prespecified peer model for key agreement, it is assumed that a party knows the identifier of its intended communicating peer when it commences a protocol run. On the other hand, a party in the postspecified peer ... 
Security arguments for the UM key agreement protocol in the NIST SP 80056A standard
(ACM Press, 2008)The Unified Model (UM) key agreement protocol is an efficient DiffieHellman scheme that has been included in many cryptographic standards, most recently in the NIST SP 80056A standard. The UM protocol is believed to ...