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arxiv: 0907.3938 · v1 · submitted 2009-07-22 · 🧮 math.AP

Normal form theory for the NLS equation

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keywords equationformhamiltoniannormalsystemactionscircleconsider
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We consider the nonlinear Schrodinger equation with a cubic nonlinearity on the circle, which is known to represent an integrable Hamiltonian system. We construct a global coordinate systems, which puts this Hamiltonian into standard normal form, so that it depends only on the actions of the system.

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