This paper aims at investigating necessary (and sufficient) conditions for quasilinear systems of first order PDEs to be Hamiltonian, with non-homogeneous operators of order 1+0, also with degenerate leading coefficient. As a byproduct, Tsarev’s compatibility conditions are extended to degenerate operators. Some examples are finally discussed.
Non-homogeneous Hamiltonian structures for quasilinear systems
Vergallo, Pierandrea
2024-01-01
Abstract
This paper aims at investigating necessary (and sufficient) conditions for quasilinear systems of first order PDEs to be Hamiltonian, with non-homogeneous operators of order 1+0, also with degenerate leading coefficient. As a byproduct, Tsarev’s compatibility conditions are extended to degenerate operators. Some examples are finally discussed.File in questo prodotto:
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