Quasilinear systems of first order PDEs with nonlocal Hamiltonian structures
arXiv:2203.13554 · doi:10.1007/s11040-022-09438-1
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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