54 citations · 178 across the 14 of their papers we have counts for
14 papers
A foundational approach to the Lie theory for fractional order partial differential equations
Rosario Antonio Leo, Gabriele Sicuro, Piergiulio Tempesta
We provide a general theoretical framework allowing us to extend the classical Lie theory for partial differential equations to the case of equations of fractional order. We propos…
A Theorem on the Existence of Symmetries of Fractional PDEs
Rosario Antonio Leo, Gabriele Sicuro, Piergiulio Tempesta
We propose a theorem that extends the classical Lie approach to the case of fractional partial differential equations (fPDEs) of the Riemann--Liouville type in (1+1) dimensions.
Thermostatistics in the neighborhood of the -mode solution for the Fermi-Pasta-Ulam system: from weak to strong chaos
M. Leo, R. A. Leo, P. Tempesta
We consider a -mode solution of the Fermi-Pasta-Ulam system. By perturbing it, we study the system as a function of the energy density from a regime where the solution is st…
The Prolongation Problem for the Heavenly Equation
M. Palese, R. A. Leo, G. Soliani
We provide an exact regular solution of an operator system arising as the prolongation structure associated with the heavenly equation. This solution is expressed in terms of opera…
Numerical analysis of the one-mode solutions in the Fermi-Pasta-Ulam system
Alessandro Cafarella, Mario Leo, Rosario Antonio Leo
The stability of the one-mode nonlinear solutions of the Fermi-Pasta-Ulam - system is numerically investigated. No external perturbation is considered for the one-mode exact an…
Quantum models related to fouled Hamiltonians of the harmonic oscillator
P. Tempesta, E. Alfinito, R. A. Leo +1
We study a pair of canonoid (fouled) Hamiltonians of the harmonic oscillator which provide, at the classical level, the same equation of motion as the conventional Hamiltonian. The…