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; C., Procesi. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - (In corso di stampa), pp. 1-53.
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
