Discrete breathers in square lattices from delocalized nonlinear vibrational modes

Standing and moving discrete breathers (or equally, intrinsic localized modes) in a square beta-Fermi-Pasta-Ulam-Tsingou lattice are obtained by applying localizing functions to the delocalized nonlinear vibrational modes (DNVMs) found earlier by Ryabov and Chechin. The initial conditions used in our study do not correspond to exact spatially localized solutions, but make it possible to obtain long-lived quasibreathers. The approach employed in this work can easily be used to search for quasibreathers in three-dimensional crystal lattices, for which DNVMs with frequencies outside the phonon spectrum are known.

Automated summary

By applying localizing functions to the delocalized nonlinear vibrational modes (DNVMs) previously discovered by Ryabov and Chechin, we obtained standing and moving discrete breathers (or intrinsic localized modes) in a square beta-Fermi-Pasta-Ulam-Tsingou lattice. Although the initial conditions used in our study do not correspond to exact spatially localized solutions, they allowed for the realization of long-lived quasibreathers. This approach can also be applied to search for quasibreathers in three-dimensional crystal lattices with DNVMs having frequencies outside the phonon spectrum.