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math-ph2007
The Atiyah--Hitchin bracket for the cubic Nonlinear Schrodinger equation. IV. the scattering potentials
K. L. Vaninsky
This is the last in a series of four papers on Poisson formalism for the cubic nonlinear Schrodinger equation with repulsive nonlinearity. In this paper we consider scattering pote…
math-ph2007★ 1 cited
The family of analytic Poisson brackets for the Camassa--Holm hierarchy
M. I. Gekhtman, K. L. Vaninsky
We consider the integrable Camassa--Holm hierarchy on the line with positive initial data rapidly decaying at infinity. It is known that flows of the hierarchy can be formulated in…