Browsing Mathematics / Matematik by Title
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Relativistic DNLS and KaupNewell hierarchy
(Institute of Mathematics, 201707)By the recursion operator of the KaupNewell hierarchy we construct the relativistic derivative NLS (RDNLS) equation and the corresponding Lax pair. In the nonrelativistic limit c → ∞ it reduces to DNLS equation and preserves ... 
Remark on:"Expfunction method for the exact solutions of fifth order KdV equation and modified Burgers equation" [Appl. Math. Comput. (2009) doi:10.1016/j.amc.2009.07.009]
(Elsevier, 201012)By means of the Expfunction method, Inan and Ugurlu [Appl. Math. Comput. (2009) doi:10.1016/j.amc.2009.07.009] reported eight expressions for being solutions to the two equations studied. In fact, all of them can be easily ... 
Renormalization of Dirac delta potentials through minimal extension of Heisenberg algebra
(IOP Publishing, 201709)We renormalize the model of multiple Dirac delta potentials in two and three dimensions by regularizing it through the minimal extension of Heisenberg algebra. We show that the results are consistent with the other ... 
Resolutions in cotorsion theories
(American Institute of Physics Publising, 2010)We consider the λ (μ) and λ̄ (μ̄) dimensions of modules taken under a cotorsion theory (F, C) satisfying the Hereditary Condition, and establish some inequalities between the dimensions of the modules of a short exact ... 
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 ... 
Resonant dispersive Benney and BroerKaup systems in 2+1 dimensions
(IOP Publishing, 2014)We represent the Benney system of dispersionless hydrodynamic equations as NLS type infinite system of equations with quantum potential. We show that negative dispersive deformation of this system is an integrable system ... 
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) ... 
Reusing static keys in key agreement protocols
(Springer, 2009)Contrary to conventional cryptographic wisdom, the NIST SP 80056A standard explicitly allows the use of a static key pair in more than one of the key establishment protocols described in the standard. In this paper, we ... 
Rings and modules characterized by opposites of injectivity
(Elsevier, 201407)In a recent paper, Aydoǧdu and LópezPermouth have defined a module M to be Nsubinjective if every homomorphism N→M extends to some E(N)→M, where E(N) is the injective hull of N. Clearly, every module is subinjective ... 
Rings over which flat covers of simple modules are projective
(World Scientific Publishing, 201206)Let R be a ring with identity. We prove that, the flat cover of any simple right Rmodule is projective if and only if R is semilocal and J(R) is cotorsion if and only if R is semilocal and any indecomposable flat right ... 
Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions
(Mathematica Scandinavica, 2009)In this note we show that a ring R is left perfect if and only if every left Rmodule is weakly supplemented if and only if R is semilocal and the radical of the countably infinite free left Rmodule has a weak supplement. 
Search for a charged Higgs boson in pp collisions at √s = 8 TeV
(Springer, 201511)A search for a charged Higgs boson is performed with a data sample corresponding to an integrated luminosity of 19.7 ± 0.5 fb−1 collected with the CMS detector in protonproton collisions at √s= 8,TeV. The charged Higgs ... 
Search for a fermiophobic Higgs boson in pp collisions at √s = 7 TeV
(Springer, 2012)Combined results are reported from searches for a fermiophobic Higgs boson in the γγ WW, and ZZ decay modes in protonproton collisions at √s = 7TeV. The explored Higgs boson mass range is 110300 GeV. The data sample ... 
Search for a heavy composite Majorana neutrino in the final state with two leptons and two quarks at √s=13TeV
(Elsevier, 201712)A search for physics beyond the standard model in the final state with two sameflavour leptons (electrons or muons) and two quarks produced in proton–proton collisions at s=13TeV is presented. The data were recorded by ... 
Search for a heavy resonance decaying to a top quark and a vectorlike top quark at √s=13 TeV
(Springer, 201709)A search is presented for massive spin1 Z′ resonances decaying to a top quark and a heavy vectorlike top quark partner T. The search is based on a 2.6 fb−1 sample of protonproton collisions at 13 TeV collected with the ... 
Search for a Higgs boson decaying into γ*γ→ℓℓγ with low dilepton mass in pp collisions at √s=8 TeV
(Elsevier, 201602)A search is described for a Higgs boson decaying into two photons, one of which has an internal conversion to a muon or an electron pair (ℓℓγ). The analysis is performed using protonproton collision data recorded with the ... 
Search for a Higgs boson in the mass range from 145 to 1000 GeV decaying to a pair of W or Z bosons
(Springer, 201510)A search for a heavy Higgs boson in the H → WW and H → ZZ decay channels is reported. The search is based upon protonproton collision data samples corresponding to an integrated luminosity of up to 5.1 fb−1 at √ s = 7 TeV ... 
Search for a light charged Higgs boson decaying to cs¯ in pp collisions at √s=8 TeV
(Springer, 201512)A search for a light charged Higgs boson, originating from the decay of a top quark and subsequently decaying into a charm quark and a strange antiquark, is presented. The data used in the analysis correspond to an integrated ... 
Search for a light charged Higgs boson in top quark decays in pp collisions at √s = 7 TeV
(Springer, 2012)Results are presented on a search for a light charged Higgs boson that can be produced in the decay of the top quark t → H +b and which, in turn, decays into τ +ν t. The analysed data correspond to an integrated luminosity ... 
Search for a light pseudoscalar Higgs boson produced in association with bottom quarks in pp collisions at √s=8 TeV
(Springer, 201711)A search for a light pseudoscalar Higgs boson (A) produced in association with bottom quarks and decaying into a muon pair is reported. The search uses 19.7 fb−1 of protonproton collisions at a centerofmass energy of 8 ...