Browsing Mathematics / Matematik by Issue Date
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Inequalities for the vibrating clamped plate problem
(TÜBİTAK, 2001)We study the eigenvalues of the vibrating clamped plate problem. We have made improvements on the bounds of the ratios of the eigenvalues of the biharmonic operator (clamped plate) using the methods of Payne, Polya, and ... 
Selfdual ChernSimons solitons and quantum potential
(World Scientific Publishing, 200102)An influence of the quantum potential on the ChernSimons solitons leads to quantization of the statistical parameter κ = me 2/g, and the quantum potential strength s = 1  m 2. A new type of exponentially localized ... 
Soliton resonances, black holes and madelung fluid
(World Scientific Publishing, 200102)The reactiondiffusion system realizing a particular gauge fixing condition of the JackiwTeitelboim gravity is represented as a coupled pair of Burgers equations with positive and negative viscosity. For acoustic metric ... 
Selfdual vortices in ChernSimons hydrodynamics
(Springer, 200106)The classical theory of a nonrelativistic charged particle interacting with a U(1) gauge field is reformulated as the Schrödinger wave equation modified by the de BroglieBohm nonlinear quantum potential. The model is gauge ... 
Inequalities for buckling of a clamped plate
(TARU Publications, 2002)We study the eigenvalue problems for the buckling of a clamped plate. The previous upper bound on low eigenvalues due to Payne, Pólya, and Weinberger, and Rile and Yeh are reviewed. Using methods similar to those used in ... 
Relation between relativistic and nonrelativistic quantum mechanics as integral transformation
(Springer, 200204)A formulation of quantum mechanics (QM) in the relativistic configurational space (RCS) is considered. A transformation connecting the nonrelativistic QM and relativistic QM (RQM) has been found in an explicit form. This ... 
Special precovers in cotorsion theories
(Cambridge University Press, 200206)A cotorsion theory is defined as a pair of classes Extorthogonal to each other. We give a hereditary condition (HC) which is satisfied by the (flat, cotorsion) cotorsion theory and give properties satisfied by arbitrary ... 
Black holes and solitons of the quantized dispersionless NLS and DNLS equations
(Cambridge University Press, 200207)The classical dynamics of nonrelativistic particles are described by the Schrödinger wave equation, perturbed by quantum potential nonlinearity. Quantization of this dispersionless equation, implemented by deformation of ... 
Resonance solitons as black holes in Madelung fluid
(World Scientific Publishing, 200208)Envelope solitons of the Nonlinear Schrödinger equation (NLS) under quantum potential's influence are studied. Corresponding problem is found to be integrable for an arbitrary strength, s ≠ 1, of the quantum potential. For ... 
An application with webMathematica
(Springer, 2003)There have been many technological dawns in the last 30 years, during which the desktop computer and the Internet have been developed. The importance of Internet in education, particularly using its Web is a wellrecognized ... 
Basic calculus on time scale with mathematica
(Springer, 2003)Mathematical modeling of time dependent systems are always interesting for applied mathematicians. First continuous and then discrete mathematical modeling are built during the mathematical development from ancient to the ... 
A1L10 phase boundaries and anisotropy via multipleorderparameter theory for an fcc alloy
(European Mathematical Society Publishing House, 2003)The dependence of thermodynamic properties of planar interphase boundaries (IPBs) and antiphase boundaries (APBs) in a binary alloy on an fcc lattice is studied as a function of their orientation. Using a recently developed ... 
The nearlyoptimal PetrovGalerkin method for convectiondiffusion problems
(Elsevier, 200306)The nearlyoptimal PetrovGalerkin (NOPG) method is employed to improve finite element computation of convectiondominated transport phenomena. The design of the NOPG method for convectiondiffusion is based on consideration ... 
qdeformed and cDeformed Harmonic Oscillators
(Yukawa Institute for Theoretical Physics, 200310)Hamilton functions of classical deformed oscillators (cdeformed oscillators) are derived from Hamiltonians of gdeformed oscillators of the Macfarlane and Dubna types. A new scale parameter, lq, with the dimension of ... 
Cofinitely weak supplemented modules
(Taylor & Francis, 200311)We prove that a module M is cofinitely weak supplemented or briefly cws (i.e., every submodule N of M with M/N finitely generated, has a weak supplement) if and only if every maximal submodule has a weak supplement. If M ... 
Graph coloring with webMathematica
(Springer, 2004)Coloring of a graph is an assignment of colors either to the edges of the graph G, or to vertices, or to maps in such a way that adjacent edges/vertices/maps are colored differently. We consider the problem of coloring ... 
The Hirota Method for reactiondiffusion equations with three distinct roots
(AIP Publishing, 2004)The Hirota Method, with modified background is applied to construct exact analytical solutions of nonlinear reactiondiffusion equations of two types. The first equation has only nonlinear reaction part, while the second ... 
Shock waves, chiral solitons and semiclassical limit of onedimensional anyons
(Elsevier, 200401)This paper is devoted to the semiclassical limit of the onedimensional Schrödinger equation with current nonlinearity and Sobolev regularity, before shocks appear in the limit system. In this limit, the modified Euler ... 
On classical and quantum qoscillators in the relativistic theory
(Springer, 200411)The factorization method, applied to the finitedifference Schrödinger equation in the relativistic configurational space, allows to consider the qdeformations as a relativistic effect. In particular, different factorizations ... 
Mathematica applications on time scales
(Springer, 2005)Stefan Hilger introduced the calculus on time scales in order to unify continuous and discrete analysis in 1988. The study of dynamic equations is an active area of research since time scales unifies both discrete and ...