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Quasilinear systems of first order PDEs with nonlocal Hamiltonian structures

Published 25 Mar 2022 in math-ph and math.MP | (2203.13554v1)

Abstract: 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 coverings, we find differential-geometric conditions necessary to write a given system with one of the three Hamiltonian operators investigated.

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