Author pages are created from data sourced from our academic publisher partnerships and public sources.
Share This Author
Lie Symmetries of Differential Equations: Classical Results and Recent Contributions
- F. Oliveri
- Mathematics, Computer ScienceSymmetry
- 8 April 2010
This paper reviews some well known results of Lie group analysis, as well as some recent contributions concerned with the transformation of differential equations to equivalent forms useful to investigate applied problems.
Dynamics and wave propagation in dilatant granular materials
The equations of motion for dilatant granular material are obtained from a Hamiltonian variational principle of local type in the conservative case. The propagation of nonlinear waves in a region…
When nonautonomous equations are equivalent to autonomopus ones
We consider nonlinear systems of first order partial differential equations admitting at least two one-parameter Lie groups of transformations with commuting infinitesimal operators. Under suitable…
Exact solutions to the equations of perfect gases through Lie group analysis and substitution principles
Nonlinear wave propagation in a non-diffusive model of bubbly liquids
- F. Oliveri
- 1 September 1990
SummaryIn this paper an “ad hoc” asymptotic approach is employed in order to study nonlinear wave propagation compatible with the non-diffusive version of the model of bubbly liquids introduced by…
Reduction to autonomous form by group analysis and exact solutions of axisymmetric MHD equations
Motivated by many physical applications, we consider a general first order system of nonlinear partial differential equations involving two independent variables x, t and a vector field u(x,t). We…
(H, ρ)-induced dynamics and the quantum game of life
Dynamics of closed ecosystems described by operators
A phenomenological operator description of dynamics of crowds: Escape strategies
An Operator-Like Description of Love Affairs
The so-called occupation number representation is adopted, originally used in quantum mechanics and recently considered in the description of stock markets, in the analysis of the dynamics of love relations, and analytical conditions for the linear model of the love triangle to have periodic or quasi-periodic solutions are found.