Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 69, pp. 1-25.

Title: A KAM theorem for higher dimensional reversible nonlinear Schrodinger equations
       
Authors: Zhaowei Lou (Nanjing Univ. of Aeronautics and Astronautics, Nanjing, China)
         Yingnan Sun (Nanjing Univ. of Aeronautics and Astronautics, Nanjing, China)

Abstract:
In this article we prove an abstract Kolmogorov-Arnold-Moser (KAM) theorem
for infinite dimensional reversible systems. Using this theorem, we obtain
the existence of quasi-periodic solutions for a class of reversible
(non-Hamiltonian) coupled nonlinear Schrodinger systems on a d-torus.

Submitted May 2, 2022. Published October 10, 2022.
Math Subject Classifications: 37K55, 35B15.
Key Words: KAM theorem; reversible vector field; quasi-periodic solution;
           nonlinear Schrodinger equation.