A KAM Theorem for Higher Dimensional Reversible Nonlinear Schrödinger Equations

Published 16 Mar 2019 in math.DS | (1903.06862v1)

Abstract: In the paper, we prove an abstract KAM (Kolmogorov-Arnold-Moser) theorem for infinite dimensional reversible systems. Using this KAM theorem, we obtain the existence and linear stability of quasi-periodic solutions for a class of reversible (non-Hamiltonian) coupled nonlinear Schr\"{o}dinger systems on $d-$torus $\mathbb{T}^d$.

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