112 citations · 1.1k across the 124 of their papers we have counts for
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High order analysis of nonlinear periodic differential equations
Paolo Amore, Hector Montes Lamas
In this letter we apply a method recently devised in \cite{aapla03} to find precise approximate solutions to a certain class of nonlinear differential equations. The analysis carri…
Comparative study of quantum anharmonic potentials
Paolo Amore, Alfredo Aranda, Arturo De Pace +1
We perform a study of various anharmonic potentials using a recently developed method. We calculate both the wave functions and the energy eigenvalues for the ground and first exci…
A new method for the solution of the Schrodinger equation
Paolo Amore, Alfredo Aranda, Arturo De Pace
We present a new method for the solution of the Schrodinger equation applicable to problems of non-perturbative nature. The method works by identifying three different scales in th…
Improved Lindstedt-Poincare method for the solution of nonlinear problems
Paolo Amore, Alfredo Aranda
We apply the Linear Delta Expansion (LDE) to the Lindstedt-Poincare (``distorted time'') method to find improved approximate solutions to nonlinear problems. We find that our metho…
Presenting a new method for the solution of nonlinear problems
Paolo Amore, Alfredo Aranda
We present a method for the resolution of (oscillatory) nonlinear problems. It is based on the application of the Linear Delta Expansion to the Lindstedt-Poincaré method. By applyi…