We discuss a class of normal forms of the completely resonant non-linear Schrodinger equation on a torus. We prove that for generic choices of the initial data one has an integrable normal form. We stress the geometric and combinatorial constructions arising from this study.

A Normal Form for the Schrödinger equation with analytic non--linearities

PROCESI, MICHELA;
In corso di stampa

Abstract

We discuss a class of normal forms of the completely resonant non-linear Schrodinger equation on a torus. We prove that for generic choices of the initial data one has an integrable normal form. We stress the geometric and combinatorial constructions arising from this study.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/405980
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