Quasi-Periodic Solutions for the Reversible Derivative Nonlinear Schr?dinger Equations with Periodic Boundary Conditions

摘要

AbstractIn this paper, we prove the existence of small amplitude, smooth time quasi-periodic solutions for a class of reversible derivative nonlinear Schr?dinger equations with periodic boundary conditions. The proof is based on an abstract Kolmogorov–Arnold–Moser(KAM) theorem for infinite dimensional reversible system.