| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842465 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 8 Pages |
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.
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Authors
Michael Herrmann,