Affiliation:
1. College of Science, China University of Petroleum , Qingdao, Shandong 266580, People’s Republic of China
Abstract
In this paper, we study a nonlinear Schrödinger equation with an almost-periodic potential, subject to periodic boundary conditions. Under appropriate assumptions on the potential, we obtain many small-amplitude, time-almost-periodic solutions for the equation. We improve the Kolmogorov–Arnold–Moser iteration to reduce the almost-periodic potential, especially depending on the space variables. The analysis of the nonlinear perturbation is also the key argument.
Funder
Natural Science Foundation of Shandong Province
Subject
General Physics and Astronomy