329 citations
- Consejo Nacional de Investigaciones Científicas y TécnicasAR30 papers
- Instituto de Física La PlataAR10 papers
- Instituto Argentino de RadioastronomíaAR9 papers
- Instituto de Astrofísica de La Plata9 papers
- Universidad de Buenos AiresAR8 papers
- Laboratoire de Physique ThéoriqueFR6 papers
- Comisión Nacional de Energía AtómicaAR4 papers
- Favaloro UniversityAR4 papers
- Institute of Astronomy and Space PhysicsAR4 papers
- Technische Universität BraunschweigDE4 papers
- École Normale Supérieure de LyonFR3 papers
- European Organization for Nuclear ResearchCH3 papers
7 papers · 1 filter
Perturbation approaches and Taylor series
Francisco M. Fernandez
We comment on the new trend in mathematical physics that consists of obtaining Taylor series for fabricated linear and nonlinear unphysical models by means of homotopy perturbation…
About homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients
Francisco M. Fernandez
We analyze a recent application of homotopy perturbation method to some heat-like and wave-like models and show that its main results are merely the Taylor expansions of exponentia…
On the application of the variational iteration method to a prey and predator model with variable coefficients
Francisco M. Fernandez
We discuss an amazing prey--predator model with variable coefficients, analyze its predictions and the accuracy of the variational iteration method used to solve the nonlinear equa…
Upper and lower bounds to the eigenvalues of an anharmonic oscillator
Francisco M. Fernandez
We obtain tight upper and lower bounds to the eigenvalues of an anharmonic oscillator with a rational potential. We compare our bounds with results given by other approaches.
Perturbation Theory for Population Dynamics
Francisco M. Fernandez
We prove that a recently proposed homotopy perturbation method for the treatment of population dynamics is just the Taylor expansion of the population variables about initial time.…
Poisson-Lie T-Duality and non trivial monodromies
A. Cabrera, H. Montani, M. Zuccalli
We describe a general framework for studying duality between different phase spaces which share the same symmetry group . Solutions corresponding to collective dynamics…