Breathers in the fractional Frenkel-Kontorova model

In the present chapter, we explore the possibility of a Frenkel-Kontorova (discrete sine-Gordon) model to bear interactions that decay algebraically with space, inspired by the continuum limit of the corresponding fractional derivative. In such a setting, we revisit the realm of discrete breathers including onsite, intersite and out-of-phase ones and... Show more