12 citations · 63 across the 14 of their papers we have counts for
14 papers
Schwarzian derivative, Painlevé XXV-Ermakov equation and Bäcklund transformations
Sandra Carillo, Alexander Chichurin, Galina Filipuk +1
The role of Schwarzian derivative in the study of nonlinear ordinary differential equations is revisited. Solutions and invariances admitted by Painlevé XXV-Ermakov equation, Ermak…
Notes on the zeros of the solutions of the non-homogeneous Airy's equation
Federico Zullo
We present some observations on the distribution of the zeros of solutions of the nonhomogeneous Airy's equation. We show the existence of a principal family of solutions, with sim…
Non rectification of heat in graded Si-Ge alloys
Sandra Carillo, Maria Grazia Naso, Elena Vuk +1
We investigate the possibility to obtain a thermal diode with functionally graded Si-Ge alloys. A wire with variable section is considered. After the introduction of a formula givi…
Some numerical observations about the COVID-19 epidemic in Italy
Federico Zullo
We give some numerical observations on the total number of infected by the SARS-CoV-2 in Italy. The analysis is based on a tanh formula involving two parameters. A polynomial corre…
The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions
Sandra Carillo, Federico Zullo
Bäcklund transformations are applied to study the Gross-Pitaevskii equation. Supported by previous results, a class of Bäcklund transformations admitted by this equation are constr…
Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations
Sandra Carillo, Federico Zullo
The class of nonlinear ordinary differential equations , where F is a smooth function, is studied. Various nonlinear ordinary differential equations,…
A q-difference Baxter's operator for the Ablowitz-Ladik chain
Federico Zullo
We construct the Baxter's operator and the corresponding Baxter's equation for a quantum version of the Ablowitz Ladik model. The result is achieved by looking at the quantum analo…
Algebraic entropy for algebraic maps
A. N. W. Hone, O. Ragnisco, F. Zullo
We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The co…
On an integrable discretisation of the Ablowitz-Ladik hierarchy
Federico Zullo
Following the general results on the relationships about Backlund transformations (BTs) and exact discretisation given in a previous work [12], we consider the Ablowitz-Ladik hiera…
Backlund transformations and Hamiltonian flows
Federico Zullo
In this work we show that, under certain conditions, parametric Backlund transformations (BTs) for a finite dimensional integrable system can be interpreted as solutions to the equ…
Quantum Bäcklund Transformations: some ideas and examples
Orlando Ragnisco, Federico Zullo
In this work we give a mechanical (Hamiltonian) interpretation of the so called spectrality property introduced by Sklyanin and Kuznetsov in the context of Bäcklund transformations…
Backlund transformations for the elliptic Gaudin model and a Clebsch system
Federico Zullo
A two-parameters family of Backlund transformations for the classical elliptic Gaudin model is constructed. The maps are explicit, symplectic, preserve the same integrals as for th…
Bäcklund Transformations for the Kirchhoff Top
Orlando Ragnisco, Federico Zullo
We construct Bäcklund transformations (BTs) for the Kirchhoff top by taking advantage of the common algebraic Poisson structure between this system and the trigonometric Ga…
Bäcklund Transformations for the Trigonometric Gaudin Magnet
Orlando Ragnisco, Federico Zullo
We construct a Backlund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends…