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 / P. Vergallo. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - (2023), pp. 1-14. [10.1007/s40574-023-00369-5]
Non-homogeneous Hamiltonian structures for quasilinear systems
P. Vergallo
Primo
2023
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.
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