10 citations · 40 across the 15 of their papers we have counts for
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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…
Hamiltonian aspects of the kinetic equation for soliton gas
Pierandrea Vergallo, Evgeny V. Ferapontov
We investigate Hamiltonian aspects of the integro-differential kinetic equation for dense soliton gas which results as a thermodynamic limit of the Whitham equations. Under a delta…
Line geometry of pairs of second-order Hamiltonian operators and quasilinear systems
Giorgio Gubbiotti, Bert van Geemen, Pierandrea Vergallo
We demonstrate that a pair consisting of a second-order homogeneous Hamiltonian structure in components and its associated system of conservation laws is in bijective correspon…