%0 Journal Article
%J J. Phys. A 40 (2007) 10769-10790
%D 2007
%T Reciprocal transformations and flat metrics on Hurwitz spaces
%A Simonetta Abenda
%A Tamara Grava
%X We 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.
%B J. Phys. A 40 (2007) 10769-10790
%G en_US
%U http://hdl.handle.net/1963/2210
%1 2034
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-10-12T09:26:01Z\\nNo. of bitstreams: 1\\n0704.1779v2.pdf: 286756 bytes, checksum: 3d2d03a6f16be9191b242adb35638601 (MD5)
%R 10.1088/1751-8113/40/35/004