Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2000-11-15
Math. Phys. Anal. Geom. 8 (2005), no. 1, 1-39
Nonlinear Sciences
Exactly Solvable and Integrable Systems
This is expanded and corrected version
Scientific paper
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 Schr\"{o}dinger equation.
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