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math-ph2025★ 1 cited
Symbolic computation of optimal systems of subalgebras of three- and four-dimensional real Lie algebras
Luca Amata, Francesco Oliveri, Emanuele Sgroi
The complete optimal systems of subalgebras of all nonisomorphic three- and four-dimensional real Lie algebras are analyzed by the program \symbolie running in the computer algebra…
math-ph2025
Hierarchy of coupled Burgers-like equations induced by conditional symmetries
M. Gorgone, F. Oliveri, E. Sgroi
It is known that -conditional symmetries of the classical Burgers' equation express in terms of three functions satisfying a coupled system of Burgers-like equations. The search…
math-ph2025
Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators
Giorgio Gubbiotti, Francesco Oliveri, Emanuele Sgroi +1
We study from an algebraic and geometric viewpoint Hamiltonian operators which are sum of a non-degenerate first-order homogeneous operator and a Poisson tensor. In flat coordinate…