3 papers
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…
nlin.SI2000
An Additional Gibbs' State for the Cubic Schrodinger Equation on the Circle
K. L. Vaninsky
An invariant Gibbs' state for the nonlinear Schrodinger equation on the circle was constructed by Bourgain, and McKean, out of the basic Hamiltonian using a trigonometric cut-off.…
solv-int1998
On Explicit Parametrisation of Spectral Curves for Moser-Calogero Particles and its Applications
K. L. Vaninsky
The system of classical particles on the line with the Weierstrass function as potential is known to be completely integrable. Recently D'Hoker and Phong found a beautifu…