Periodic travelling waves in convex Klein-Gordon chains
Mathematical Physics
2010-08-31 v1 Dynamical Systems
math.MP
Abstract
We study Klein-Gordon chains with attractive nearest neighbour forces and convex on-site potential, and show that there exists a two-parameter family of periodic travelling waves (wave trains) with unimodal and even profile functions. Our existence proof is based on a saddle-point problem with constraints and exploits the invariance properties of an improvement operator. Finally, we discuss the numerical computation of wave trains.
Keywords
Cite
@article{arxiv.0902.4201,
title = {Periodic travelling waves in convex Klein-Gordon chains},
author = {Michael Herrmann},
journal= {arXiv preprint arXiv:0902.4201},
year = {2010}
}
Comments
12 pages, 3 figures