Existence, linear stability and long-time nonlinear stability of Klein-Gordon breathers in the small-amplitude limit

Dmitry E. Pelinovsky, Tiziano Penati, Simone Paleari

In this paper we consider a discrete Klein-Gordon (dKG) equation on $\ZZ^d$ in the limit of the discrete nonlinear Schrodinger (dNLS) equation, for which small-amplitude breathers…