Quasilinear Systems of First Order PDEs with Nonlocal Hamiltonian Structures.

In this paper we investigate 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. [ABSTRACT FROM AUTHOR]