Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type

Details Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type

2008-12-17

arxiv.org/abs/0812.3317v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23pp

Scientific paper

We study purely nonlocal Hamiltonian structures for systems of hydrodynamic
type. In the case of a semi-Hamiltonian system, we show that such structures
are related to quadratic expansions of the diagonal metrics naturally
associated with the system.

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