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math-ph2024
Classification of 1+0 two-dimensional Hamiltonian operators
Alessandra Rizzo
In this paper, we study Hamiltonian operators which are sum of a first order operator and of a Poisson tensor, in two spatial independent variables. In particular, a complete class…
math-ph2024
A reduction procedure for determining exact solutions of second order hyperbolic equations
Natale Manganaro, Alessandra Rizzo
In this paper we develop a systematic reduction procedure for determining intermediate integrals of second order hyperbolic equations so that exact solutions of the second order PD…
math-ph2024★ 1 cited
Quasilinear differential constraints for parabolic systems of Jordan-block type
Alessandra Rizzo, Pierandrea Vergallo
We prove that linear degeneracy is a necessary conditions for systems in Jordan-block form to admit a compatible quasilinear differential constraint. Such condition is also suffici…