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

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.

This is expanded and corrected version

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• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
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