Publicaciones Científicas Nanociencias y Materiales
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Solitones no autónomos en fibras ópticas
(2015)"Soluciones solitónicas de las ecuaciones de Schrôdinger no lineales de coeficientes variables que describen muchas situaciones reales de propagación solitónica se pueden obtener usando el mapeo de ‘integrabilidad diseñada’ ... 
Electromagnetic transmittance in alternating materialmetamaterial layered structures
(2017)"Using the transfer matrix method we examine the parametric behavior of the transmittance of TE and TM electromagnetic plane waves propagating in frequency range which are far from the absorption bands of a periodic ... 
Oneparameter isospectral special functions
(2003)"Using a combination of the ladder operators of Pina [1] and the Pammetric operators of Mielnik [2] we introduce second order linear differential equations whose eigenfunctions are isospectral to the special functions of ... 
Riccati nonhermiticity with application to the Morse potential
(2005)"A supersymmetric onedimensional matrix procedure, similar to the relationships of the same type between Dirac and Schrodinger equations in particle physics, is described in the general terms. By this means, we are able ... 
Traveling kinks in cubic nonlinear GinzburgLandau equations
(2012)"Nonlinear cubic EulerLagrange equations of motion in the traveling variable are usually derived from GinzburgLandau free energy functionals frequently encountered in several fields of physics. Many authors considered ... 
Extension of a factorization method of nonlinear second order ODE´s with variable coefficients
(2017)"The factorization of nonlinear secondorder differential equations proposed by Rosu and CornejoPérez in 2005 is extended to equations containing quadratic and cubic forms in the first derivative. A few illustrative ... 
Nonlinear second order Ode's: factorizations and particular solutions
(2005)"We present particular solutions for the following important nonlinear second order differential equations: modified Emden, generalized Lienard, convective Fisher, and generalized BurgersHuxley. For the latter two equations ... 
Nonlinear software sensor for monitoring genetic regulation processes with noise and modeling errors
(2005)"Nonlinear control techniques by means of a software sensor that are commonly used in chemical engineering could be also applied to genetic regulation processes. We provide here a realistic formulation of this procedure ... 
Supersymmetric pairing of kinks for polynomial nonlinearities
(2005)"We show how one can obtain kink solutions of ordinary differential equations with polynomial nonlinearities by an efficient factorization procedure directly related to the factorization of their nonlinear polynomial part. ... 
Ramanujan sums for signal processing of lowfrequency noise
(2002)"An aperiodic (lowfrequency) spectrum may originate from the error term in the mean value of an arithmetical function such as Mobius function or Mangoldt function, which are coding sequences for prime numbers. In the ... 
Existence of periodic orbits in nonlinear oscillators of EmdenFowler form
(2016)"The nonlinear pseudooscillator recently tackled by Gadella and Lara is mapped to an EmdenFowler (EF) equation that is written as an autonomous twodimensional ODE system for which we provide the phasespace analysis and ... 
Genetic algorithm optimization of entanglement
(2006)"We present an application of a genetic algorithmic computational method to the optimization of the concurrence measure of entanglement for the cases of one dimensional chains, as well as square and triangular lattices in ... 
Newton´s laws of motion in the form of a Riccati equation
(2002)"We discuss two applications of a Riccati equation to Newton´s laws of motion. The first one is the motion of a particle under the influence of a power law central potential V(r)=krε. For zero total energy we show that the ... 
FRW barotropic zero modes: dynamical systems observability
(2007)"The dynamical systems observability properties of barotropic bosonic and fermionic FRW cosmological oscillators are investigated. Nonlinear techniques for dynamical analysis have been recently developed in many engineering ... 
Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations
(2013)"We emphasize two connections, one well known and another less known, between the dissipative nonlinear second order differential equations and the Abel equations which in its first kind form have only cubic and quadratic ... 
Barotropic FRW cosmologies with Chiellini damping
(2015)"It is known that barotropic FRW equations written in the conformal time variable can be reduced to simple linear equations for an exponential function involving the conformal Hubble rate. Here, we show that an interesting ... 
ErmakovLewis invariants and Reid systems
(2014)"Reid´s mthorder generalized Ermakov systems of nonlinear coupling constant ? are equivalent to an integrable EmdenFowler equation. The standard ErmakovLewis invariant is discussed from this perspective, and a closed ... 
Cyclotomy and Ramanujan sums in quantum phase locking
(2003)"Phaselocking governs the phase noise in classical clocks through effects described in precise mathematical terms. We seek here a quantum counterpart of these effects by working in a finite Hilbert space. We use a coprimality ... 
An alternative factorization of the quantum harmonic oscillator and twoparameter family of selfadjoint operators
(2012)"We introduce an alternative factorization of the Hamiltonian of the quantum harmonic oscillator which leads to a twoparameter selfadjoint operator from which the standard harmonic oscillator, the oneparameter oscillators ... 
Parametric oscillators from factorizations employing a constantshifted Riccati solution of the classical harmonic oscillator
(2011)"We determine the kind of parametric oscillators that are generated in the usual factorization procedure of secondorder linear differential equations when one introduces a constant shift of the Riccati solution of the ...