Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type

2008/12/17 by Gibbons, John, Lorenzoni, Paolo, Raimondo, Andrea
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.0812.3317

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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