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math.AP2010★ 46 cited
Normal Form for the Schrödinger equation with analytic non--linearities
M. Procesi, C. Procesi
In this paper we discuss a class of normal forms of the completely resonant non--linear Schrödinger equation on a torus. We stress the geometric and combinatorial constructions ari…
math.AP2010★ 1 cited
A normal form of the non-linear Schrödinger equation
Claudio Procesi, Michela Procesi
We discuss normal forms of the completely resonant non-linear Schrödinger equation on a torus $\T^n$, with particular applications to quasi periodic solutions.