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Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type |
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| Authors: | John Gibbons Paolo Lorenzoni Andrea Raimondo |
| Institution: | 1. Department of Mathematics, Imperial College, 180 Queen’s Gate, London SW7 2AZ, UK;2. Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, Via Roberto Cozzi 53, I-20125 Milano, Italy |
| 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. |
| Keywords: | Integrable hierarchies of hydrodynamic type Nonlocal Hamiltonian formalism Frobenius manifolds |
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