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Symplectic Structures for the Cubic Schrodinger equation in the periodic and scattering case

K. L. Vaninsky

nlin.SIarXiv:nlin/0011031

Abstract

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 cubic nonlinear Schrödinger equation.

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