Reciprocal transformations and flat metrics on Hurwitz spaces

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dc.creatorAbenda, S.
dc.creatorGrava, T.
dc.date2007-04-13
dc.date2007-07-09
dc.date.accessioned2026-07-07T12:46:23Z
dc.date.available2026-07-07T12:46:23Z
dc.descriptionWe consider hydrodynamic systems which possess a local Hamiltonian structure of Dubrovin-Novikov type. To such a system there are also associated an infinite number of nonlocal Hamiltonian structures. We give necessary and sufficient conditions so that, after a nonlinear transformation of the independent variables, the reciprocal system still possesses a local Hamiltonian structure of Dubrovin-Novikov type. We show that, under our hypotheses, bi-hamiltonicity is preserved by the reciprocal transformation. Finally we apply such results to reciprocal systems of genus g Whitham-KdV modulation equations.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0704.1779
dc.identifierhttp://arxiv.org/abs/0704.1779
dc.identifierJ. Phys. A: Math. Theor. 40 (2007) 10769-10790
dc.identifierdoi:10.1088/1751-8113/40/35/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221364
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleReciprocal transformations and flat metrics on Hurwitz spaces
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