10 citations · 40 across the 15 of their papers we have counts for
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Solutions to the wave equation for commuting flows of dispersionless PDEs
Natale Manganaro, Alessandra Rizzo, Pierandrea Vergallo
Motivated by the viewpoint of integrable systems, we study commuting flows of 2-component quasilinear equations, reducing to investigate the solutions of the wave equation with non…
Hamiltonian systems of Jordan block type: delta-functional reductions of the kinetic equation for soliton gas
Pierandrea Vergallo, Evgeny V. Ferapontov
We demonstrate that linear degeneracy is a necessary condition for quasilinear systems of Jordan block type to possess first-order Hamiltonian structures. Multi-Hamiltonian formula…
Classification of degenerate non-homogeneous Hamiltonian operators
Marta Dell'Atti, Pierandrea Vergallo
In this paper, the authors investigate non-homogeneous Hamiltonian operators composed of a first-order Dubrovin-Novikov operator and an ultralocal one. The study of such operators…
Quasilinear systems of first order PDEs with nonlocal Hamiltonian structures
Pierandrea Vergallo
In this paper we wonder whether a quasilinear system of PDEs of first order admits Hamiltonian formulation with local and nonlocal operators. By using the theory of differential co…
Projective geometry of homogeneous second order Hamiltonian operators
Pierandrea Vergallo, Raffaele Vitolo
We prove the invariance of homogeneous second-order Hamiltonian operators under the action of projective reciprocal transformations. We establish a correspondence between such oper…