TY - JOUR
T1 - Reciprocal transformations and flat metrics on Hurwitz spaces
JF - J. Phys. A 40 (2007) 10769-10790
Y1 - 2007
A1 - Simonetta Abenda
A1 - Tamara Grava
AB - 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.
UR - http://hdl.handle.net/1963/2210
U1 - 2034
U2 - Mathematics
U3 - Mathematical Physics
ER -