We present results on multibreather stability in one-dimensional nonlinear Klein-Gordon chains. Our analysis is based on Aubry's band theory and perturbation theory. First, we provide an alternative proof of the stability of multibreathers in a chain with nearest neighbor interactions only. Then, we extend our analysis to the case of interactions with up to three neighbors. For next-nearest neighbor and third-nearest neighbor interactions we also extend the theory to study the stability properties of recently found multibreathers that have nonstandard phase shifts (not equal to 0 or π).
|Original language||English (US)|
|Number of pages||11|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|State||Published - Sep 16 2013|
- Discrete Klein-Gordon equations
ASJC Scopus subject areas
- Physics and Astronomy(all)