Normal form theory for the NLS equation

Details Normal form theory for the NLS equation Normal form theory for the NLS equation

2009-07-22

arxiv.org/abs/0907.3938v1

Mathematics

Analysis of PDEs

March 2009 version

Scientific paper

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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