47 citations · 248 across the 23 of their papers we have counts for
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Approximate Noether symmetries of perturbed Lagrangians and approximate conservation laws
M. Gorgone, F. Oliveri
In this paper, within the framework of the consistent approach recently introduced for approximate Lie symmetries of differential equations, we consider approximate Noether symmetr…
Continua with non-local constitutive laws: exploitation of entropy inequality
Matteo Gorgone, Francesco Oliveri, Patrizia Rogolino
In this paper, we consider a system of balance laws sufficiently general to contain the equations describing the thermomechanics of a one-dimensional continuum; this system involve…
Generalized Hamiltonian for a two-mode fermionic model and asymptotic equilibria
Rosa Di Salvo, Matteo Gorgone, Francesco Oliveri
In some recent papers, the so called -induced dynamics of a system whose time evolution is deduced adopting an operatorial approach, has been introduced. Accor…
Lie remarkable partial differential equations characterized by Lie algebras of point symmetries
Matteo Gorgone, Francesco Oliveri
Within the framework of inverse Lie problem, we give some non-trivial examples of coupled Lie remarkable equations, \textit{i.e.}, classes of differential equations that are in cor…
A Consistent Approach to Approximate Lie Symmetries of Differential Equations
Rosa Di Salvo, Matteo Gorgone, Francesco Oliveri
Lie theory of continuous transformations provides a unified and powerful approach for handling differential equations. Unfortunately, any small perturbation of an equation usually…
Approximate Q-conditional symmetries of partial differential equations
Matteo Gorgone, Francesco Oliveri
Following a recently introduced approach to approximate Lie symmetries of differential equations which is consistent with the principles of perturbative analysis of differential eq…
On the decoupling problem of general quasilinear first order systems in two independent variables
Matteo Gorgone, Francesco Oliveri, Maria Paola Speciale
The paper deals with the decoupling problem of general quasilinear first order systems in two independent variables. We consider either the case of homogeneous and autonomous syste…
Nonlinear first order PDEs reducible to autonomous form polynomially homogeneous in the derivatives
Matteo Gorgone, Francesco Oliveri
It is proved a theorem providing necessary and sufficient conditions enabling one to map a nonlinear system of first order partial differential equations, polynomial in the derivat…
Nonlinear first order partial differential equations reducible to first order homogeneous and autonomous quasilinear ones
Matteo Gorgone, Francesco Oliveri
A theorem providing necessary conditions enabling one to map a nonlinear system of first order partial differential equations to an equivalent first order autonomous and homogeneou…
Reduction of balance laws in (3+1)--dimensions to autonomous conservation laws by means of equivalence transformations
Matteo Gorgone, Francesco Oliveri, Maria Paola Speciale
A class of partial differential equations (a conservation law and four balance laws), with four independent variables and involving sixteen arbitrary continuously differentiable fu…
Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation
M. Gorgone, F. Oliveri
Within the theoretical framework of a recently introduced approach to approximate Lie symmetries of differential equations containing small terms, which is consistent with the prin…
Ordinary differential equations described by their Lie symmetry algebra
Gianni Manno, Francesco Oliveri, Giuseppe Saccomandi +1
The theory of Lie remarkable equations, i.e. differential equations characterized by their Lie point symmetries, is reviewed and applied to ordinary differential equations. In part…