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math-ph2001
On the Bi-Hamiltonian Theory for the Harry Dym Equation
Marco Pedroni, Vincenzo Sciacca, Jorge P. Zubelli
We describe how the Harry Dym equation fits into the the bi-Hamiltonian formalism for the Korteweg-de Vries equation and other soliton equations. This is achieved by means of a cer…
math-ph1998
Geodesic Flows on Diffeomorphisms of the Circle, Grassmannians, and the Geometry of the Periodic KdV Equation
M. E. Schonbek, A. N. Todorov, J. P. Zubelli
We start by constructing a Hilbert manifold T of orientation preserving diffeomorphisms of the circle (modulo the group of bi-holomorphic self-mappings of the disc). This space, wh…