Repositorio IPICyT: Recent submissions
Now showing items 1681-1700 of 2297
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Nongauge bright soliton of the nonlinear Schrödinger (NLS) equation and a family of generalized NLS equations
(2016)"We present an approach to the bright soliton solution of the nonlinear Schrödinger (NLS) equation from the standpoint of introducing a constant potential term in the equation. We discuss a "nongauge" bright soliton for ... -
Barotropic FRW cosmologies with Chiellini damping in comoving time
(2015)"For nonzero cosmological constant ?, we show that the barotropic FRW cosmologies as worked out in the comoving time lead in the radiation-dominated case to scale factors of identical form as for the Chiellini dissipative ... -
Quantum Hamiltonians and prime numbers
(2003)"A short review of Schrödinger Hamiltonian for which the spectral problem has beenVrelated in the literature to the distribution of the prime numbers is presented here. WeVnotice a possible connection between prime numbers ... -
Note on Hawking-Unruh effects in graphene
(2012)"Beltrami-shaped graphene sheets have been recently proposed as analogs of curved spacetimes with Hawking-Unruh e?ects detected through typi-cal condensed matter measurements involving scanning tunneling micro-scopes and ... -
Barotropic FRW cosmologies with a Dirac-like parameter
(2004)"Using the known connection between Schroedinger-like equations and Dirac-like equations in the supersymmetric context, we discuss an extension of FRW barotropic cosmologies in which a Dirac mass-like parameter is introduced. ... -
Integrable Abel equations and Vein's Abel equation
(2016)"We first reformulate and expand with several novel findings some of the basic results in the integrability of Abel equations. Next, these results are applied to Vein's Abel equation whose solutions are expressed in terms ... -
On arithmetic detection of grey pulses with application to Hawking radiation
(2002)"Micron-sized black holes do not necessarily have a constant horizon temperature distribution. The black hole remote-sensing problem means to find out the "surface" temperature distribution of a small black hole from the ... -
KdV adiabatic index solitons in barotropic open FRW cosmologies
(2002)"Applying standard mathematical methods, it is explicitly shown how the Riccati equation for the Hubble parameter H() of barotropic open FRW cosmologies is connected with a Korteweg-de Vries equation for adiabatic index ... -
Eigenvalue problems, spectral parameter power series, and modern applications
(2015)"Our review is dedicated to a wide class of spectral and transmission problems arising in di?erent branches of applied physics. One of the main di?culties in studying and solving eigenvalue problems for operators with ... -
Spectral parameter power series representation for Hill´s discriminant
(Elsevier, 2010)"We establish a series representation of the Hill discriminant based on the spectral parameter power series (SPPS) recently introduced by V. Kravchenko. We also show the invariance of the Hill discriminant under a Darboux ... -
Cellular automata modeling of continuous stirred tank reactors
(2008)"The classical dynamical systems model of continuous stirred tank reactors (CSTR) in which a first order chemical reaction takes place is reformulated in terms of stochastic cellular automata by extending previous works of ... -
A note on Verhulst's logistic equation and related logistic maps
(2010)"We consider the Verhulst logistic equation and a couple of forms of the corresponding logistic maps. For the case of the logistic equation we show that using the general Riccati solution only changes the initial conditions ... -
Classical harmonic oscillator with Dirac-like parameters and possible applications
(2004)"We obtain a class of parametric oscillation modes that we call K-modes with damping and absorption that are connected to the classical harmonic oscillator modes through the “supersymmetric” one-dimensional matrix procedure ... -
An amplitude-phase (Ermako-Lewis) approach for the Jackiw-Pi model of bilayer graphene
(2009)"In the context of bilayer graphene we use the simple gauge model of Jackiw and Pi to construct its numerical solutions in powers of the bias poten-tial V according to a general scheme due to Kravchenko. Next, using this ... -
Transform of Riccati equation of constant coefficients through fractional procedure
(2003)"We use a particular fractional generalization of the ordinary differential equations that we apply to the Riccati equation of constant coefficients. By this means the latter is transformed into a modified Riccati equation ... -
Riccati-parameter solutions of nonlinear second-order ODEs
(2008)"It has been proven by Rosu and Cornejo-Pérez [1, 2] that for some nonlinear second-order ODEs it is a very simple task to find one particular solution once the nonlinear equation is factorized with the use of two first-order ... -
Understanding the adsorptive and photoactivity properties of Ag-graphene oxide nanocomposites
(2013)"Nanocomposites of graphene oxide (GO) and silver nanoparticles (AgNPs) were synthetized using a practical photochemical silver functionalization. Their photocatalytic activities were evaluated with two dyes, Rhodamine B ... -
Shape invariance through Crum transformation
(2006)"We show in a rigorous way that Crum´s result regarding the equal eigenvalue spectrum of Sturm-Liouville problems can be obtained iteratively by successive Darboux transformations. Furthermore, it can be shown that all ... -
The hyperbolic, the arithmetic and the quantum phase
(2004)"We develop a new approach of the quantum phase in an Hilbert space of finite dimension which is based on the relation between the physical concept of phase locking and mathematical concepts such as cyclotomy and the ... -
N-step linear phase-shifting algorithms with optimum signal to noise phase demodulation
(2011)"A common way to test an optical wavefront is to use a phase-shifting interferometer along with (for example) a three-step linear phase-shifting algorithm (PSA). The following fundamental question arises: what phase step ...