Periodic travelling waves in convex Klein-Gordon chains

Details Periodic travelling waves in convex Klein-Gordon chains Periodic travelling waves in convex Klein-Gordon chains

2009-02-24

arxiv.org/abs/0902.4201v1

Nonlinear Anal.-Theory Methods Appl., vol.71, no.11, pp. 5501-5508, 2009

Physics

Mathematical Physics

12 pages, 3 figures

Scientific paper

10.1016/j.na.2009.04.039

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.

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