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.
Gibbons, J., Lorenzoni, P., Raimondo, A. (2010). Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type. JOURNAL OF GEOMETRY AND PHYSICS, 60(9), 1112-1126 [10.1016/j.geomphys.2010.03.010].
Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type
LORENZONI, PAOLO;RAIMONDO, ANDREA
2010
Abstract
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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