A Normal Form for the Schrödinger Equation with Analytic Non-linearities

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Abstract

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 arising from this study. © 2012 Springer-Verlag.

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Procesi, M., & Procesi, C. (2012). A Normal Form for the Schrödinger Equation with Analytic Non-linearities. Communications in Mathematical Physics, 312(2), 501–557. https://doi.org/10.1007/s00220-012-1483-2

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