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Now showing items 51-60 of 122
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 ...
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 ...
Riccati nonhermiticity with application to the Morse potential
(2005)
"A supersymmetric one-dimensional 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 ...
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 ...
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. ...
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 Burgers-Huxley. For the latter two equations ...
One-parameter 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 ...
High-gain nonlinear observer for simple genetic regulation process
(Elsevier, 2007)
"High-gain nonlinear observers occur in the nonlinear automatic control theory and are in standard usage in chemical engineering processes. We apply such a type of analysis in the context of a very simple one-gene reg-ulation ...