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Symplectic Structures for the Cubic Schrodinger equation in the periodic and scattering case
K. L. Vaninsky
We develop a unified approach for construction of symplectic forms for 1D integrable equations with the periodic and rapidly decaying initial data. As an example we consider the cu…
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.…