Existence of breathers in nonlinear Klein-Gordon lattices
Pattern Formation and Solitons
2022-02-17 v6 Mathematical Physics
math.MP
Abstract
We prove the existence of time-periodic solutions and spatially localised solutions (breathers), in general nonlinear Klein-Gordon infinite lattices. The existence problem is converted into a fixed point problem for an operator on some appropriate function space which is solved by means of Schauder's Fixed Point Theorem.
Keywords
Cite
@article{arxiv.2103.11854,
title = {Existence of breathers in nonlinear Klein-Gordon lattices},
author = {Dirk Hennig},
journal= {arXiv preprint arXiv:2103.11854},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:1506.07844, arXiv:1404.2712