Localised time-periodic solutions of discrete nonlinear Klein-Gordon systems with convex on-site potentials
Pattern Formation and Solitons
2020-11-23 v2 Dynamical Systems
Abstract
The existence of nonzero localised periodic solutions for general one-dimensional discrete nonlinear Klein-Gordon systems with convex on-site potentials is proved. The existence problem of localised solutions is expressed in terms of a fixed point equation for an operator on some appropriate function space which is solved by means of Schauder's Fixed Point Theorem.
Keywords
Cite
@article{arxiv.2011.09738,
title = {Localised time-periodic solutions of discrete nonlinear Klein-Gordon systems with convex on-site potentials},
author = {Dirk Hennig},
journal= {arXiv preprint arXiv:2011.09738},
year = {2020}
}