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Non-homogeneous Hamiltonian structures for quasilinear systems (2301.10713v2)
Published 25 Jan 2023 in math-ph, math.MP, and nlin.SI
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.