Browsing Mathematics / Matematik by Title
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Erratum: search for new physics in events with samesign dileptons and b jets in pp collisions at √s=8 TeV
(Springer, 2013)A search for new physics is performed using events with isolated samesign leptons and at least two bottomquark jets in the final state. Results are based on a sample of protonproton collisions collected at a centerofmass ... 
Event activity dependence of υ(nS) production in √SNN = 5.02 TeV pPb and √s = 2.76 TeV pp collisions
(Springer, 201404)The production of υ(1S), υ(2S), and υ(3S) is investigated in pPb and pp collisions at centreofmass energies per nucleon pair of 5.02 TeV and 2.76 TeV, respectively. The datasets correspond to integrated luminosities of ... 
Event generator tunes obtained from underlying event and multiparton scattering measurements
(Springer, 201603)New sets of parameters (“tunes”) for the underlyingevent (UE) modelling of the pythia8, pythia6 and herwig++ Monte Carlo event generators are constructed using different parton distribution functions. Combined fits to CMS ... 
Evidence for exclusive γγ → W+ W− production and constraints on anomalous quartic gauge couplings in pp collisions at √s = 7 and 8 TeV
(Springer, 201608)A search for exclusive or quasiexclusive γγ → W+W− production, via pp → p(*)W+W−p(*) → p(*)μ±e∓p(*) at √s = 8 TeV, is reported using data corresponding to an integrated luminosity of 19.7 fb−1. Events are selected by ... 
Exact and explicit solutions to nonlinear evolution equations using the division theorem
(Elsevier, 201106)In this paper, we show the applicability of the first integral method, which is based on the ring theory of commutative algebra, to the regularized longwave Burgers equation and the GilsonPickering equation under a ... 
Exact and explicit solutions to some nonlinear evolution equations by utilizing the (G′/G)expansion method
(Elsevier, 200909)In this paper, we demonstrate the effectiveness of the socalled (G′/G)expansion method by examining some nonlinear evolution equations with physical interest. Our work is motivated by the fact that the (G′/G)expansion ... 
Exact and explicit solutions to the (3 + 1)dimensional JimboMiwa equation via the Expfunction method
(Elsevier, 20081124)In this Letter, the Expfunction method, with the aid of a symbolic computation system such as Mathematica, is applied to the (3 + 1)dimensional JimboMiwa equation to show its effectiveness and reliability. Exact and ... 
Exact and explicit solutions to the discrete nonlinear Schrödinger equation with a saturable nonlinearity
(Elsevier, 20111114)We analyze the discrete nonlinear Schrödinger equation with a saturable nonlinearity through the (G′/G)expansion method to present some improved results. Three types of analytic solutions with arbitrary parameters are ... 
Exact quantization of CauchyEuler type forced parametric oscillator
(IOP Publishing, 201610)Driven and damped parametric quantum oscillator is solved by WeiNorman Lie algebraic approach, which gives the exact form of the evolution operator. This allows us to obtain explicitly the probability densities, timeevolution ... 
Exact solutions for a local fractional DDE associated with a nonlinear transmission line
(Institute of Physics Publishing, 20160901)Of recent increasing interest in the area of fractional calculus and nonlinear dynamics are fractional differentialdifference equations. This study is devoted to a local fractional differentialdifference equation which ... 
Exact solutions for fractional DDEs via auxiliary equation method coupled with the fractional complex transform
(Wiley, 201612)Dynamical behavior of many nonlinear systems can be described by fractionalorder equations. This study is devoted to fractional differential–difference equations of rational type. Our focus is on the construction of exact ... 
Exact solutions of a fractionaltype differentialdifference equation related to discrete MKdV equation
(IOP Publishing, 201405)The extended simplest equation method is used to solve exactly a new differentialdifference equation of fractionaltype, proposed by Narita [J. Math. Anal. Appl. 381 (2011) 963] quite recently, related to the discrete ... 
Exact solutions of forced Burgers equations with time variable coefficients
(Elsevier, 201307)In this paper, we consider a forced Burgers equation with time variable coefficients of the form Ut+(μ̇(t)/μ(t))U+UUx=(1/2μ(t))Uxxω2(t)x, and obtain an explicit solution of the general initial value problem in terms of a ... 
Exactly solvable Hermite, Laguerre, and Jacobi type quantum parametric oscillators
(American Institute of Physics, 201612)We introduce exactly solvable quantum parametric oscillators, which are generalizations of the quantum problems related with the classical orthogonal polynomials of Hermite, Laguerre, and Jacobi type, introduced in the ... 
Exactly solvable Madelung fluid and complex Burgers equations: A quantum SturmLiouville connection
(Springer, 201211)Quantum SturmLiouville problems introduced in our paper (Büyükaşi{dotless}k et al. in J Math Phys 50:072102, 2009) provide a reach set of exactly solvable quantum damped parametric oscillator models. Based on these results, ... 
Exactly solvable quantum SturmLiouville problems
(American Institute of Physics Publising, 2009)The harmonic oscillator with timedependent parameters covers a broad spectrum of physical problems from quantum transport, quantum optics, and quantum information to cosmology. Several methods have been developed to ... 
Existence of Hamiltonians for some singular interactions on manifolds
(American Institute of Physics Publising, 201204)The existence of the Hamiltonians of the renormalized point interactions in two and three dimensional Riemannian manifolds and that of a relativistic extension of this model in two dimensions are proven. Although it is ... 
The Expfunction approach to the Schwarzian Kortewegde Vries equation
(Elsevier, 201004)By means of the Expfunction method and its generalization, we report further exact traveling wave solutions, in a concise form, to the Schwarzian Kortewegde Vries equation which admits physical significance in applications. ... 
The extended discrete (G′/G)expansion method and its application to the relativistic toda lattice system
(American Institute of Physics Publising, 2009)We propose the extended discrete (G′/G)expansion method for directly solving nonlinear differentialdifference equations. For illustration, we choose the relativistic Toda lattice system. We derive further discrete hyperbolic ... 
Extended void merging tree algorithm for selfsimilar models
(Oxford University Press, 201403)In hierarchical evolution, voids exhibit two different behaviours related with their surroundings and environments, they can merge or collapse. These two different types of void processes can be described by the twobarrier ...