3 papers
math.GM2024
A note on exact results for Burgers-like equations involving Laguerre derivatives
Giuseppe Dattoli, Riccardo Droghei, Roberto Garra
In this note, we consider some Burgers-like equations involving Laguerre derivatives and demonstrate that it is possible to construct specific exact solutions using separation of v…
math.CA2023
Hermite, Higher order Hermite, Laguerre type polynomials and Burgers like equations
Giuseppe Dattoli, Roberto Garra, Silvia Licciardi
The multivariable version of ordinary and generalized Hermite polynomials are the natural solutions of the classical heat equation and of its higher order versions. We derive the a…
nlin.SI2020
On the relation between non-homogeneous fractional Burgers equations and time-dependent harmonic oscillator
P. Artale Harris, R. Droghei, R. Garra +1
In this paper we discuss the relation between non-homogeneous nonlinear fractional diffusive equations and the Schrodinger equation with time-dependent harmonic potential. It is we…