Zhaowei Lou, Yingnan Sun
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.
DOI: https://doi.org/10.58997/ejde.2022.69
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| Zhaowei Lou School of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing 211106, China email: zwlou@nuaa.edu.cn |
| Yingnan Sun School of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing 211106, China email: sunyingnan@nuaa.edu.cn |
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