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One-parameter supersymmetric Hamiltonians in momentum space
(2015)
"Recent results on the one-parameter supersymmetric deformation in momentum space by Curtright and Zachos (2014 J. Phys. A: Math. and Theor. 47 145201) are presented in a more general framework following our own papers. ...
Existence of periodic orbits in nonlinear oscillators of Emden-Fowler form
(2016)
"The nonlinear pseudo-oscillator recently tackled by Gadella and Lara is mapped to an Emden-Fowler (EF) equation that is written as an autonomous two-dimensional ODE system for which we provide the phase-space analysis and ...
An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators
(2012)
"We introduce an alternative factorization of the Hamiltonian of the quantum harmonic oscillator which leads to a two-parameter self-adjoint operator from which the standard harmonic oscillator, the one-parameter oscillators ...
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 ...
Parametric oscillators from factorizations employing a constant-shifted Riccati solution of the classical harmonic oscillator
(Elsevier, 2011)
"We determine the kind of parametric oscillators that are generated in the usual factorization procedure of second-order linear differential equations when one introduces a constant shift of the Riccati solution of the ...
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 ...
Ermakov-Lewis invariants and Reid systems
(2014)
"Reid´s mth-order generalized Ermakov systems of nonlinear coupling constant ? are equivalent to an integrable Emden-Fowler equation. The standard Ermakov-Lewis invariant is discussed from this perspective, and a closed ...
Electromagnetic transmittance in alternating material-metamaterial 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 ...
Traveling kinks in cubic nonlinear Ginzburg-Landau equations
(2012)
"Nonlinear cubic Euler-Lagrange equations of motion in the traveling variable are usually derived from Ginzburg-Landau 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 second-order differential equations proposed by Rosu and Cornejo-Pérez in 2005 is extended to equations containing quadratic and cubic forms in the first derivative. A few illustrative ...