Quasi-Periodic solutions of Two Dimensional Completely Resonant Reversible Schr\"odinger d Systems
Abstract
We introduce an abstract KAM (Kolmogorov-Arnold-Moser) theorem for infinite dimensional reversible Schr\"odinger systems. Using this KAM theorem together with partial Birkhoff normal form method, we find the existence of quasi-periodic solutions for a class of completely resonant reversible coupled nonlinear Schr\"odinger d systems on two dimensional torus.
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