It is well known that periodic discrete defect-containing systems support both traveling
waves and vibrational defect-localized modes. It turns out that if a periodic discrete system is …

Intrinsic localized modes or discrete breathers (DBs) are spatially localized, largeamplitude
vibrational modes in defect-free nonlinear lattices. In this review, recent achievements in the …

It is known that defect-free crystals can support spatially localized, large amplitude
vibrational modes with frequencies outside the linear phonon spectrum. Such excitations are …

A practical approach to the search for (quasi-) discrete breathers (DBs) in a triangular β-
FPUT lattice (after Fermi, Pasta, Ulam, and Tsingou) is proposed. DBs are obtained by …

A density functional theory (DFT) study of the discrete breathers (DBs) in graphane (fully
hydrogenated graphene) was performed. To the best of our knowledge, this is the first …

Discrete breathers (DB) are spatially localized vibrational modes of large amplitude in defect-
free nonlinear lattices. The search for DBs in graphene is of high importance, taking into …

The phenomenon of modulational instability is investigated for all four delocalized short-
wave vibrational modes recently found for the two-dimensional hexagonal lattice with the …

Linear and nonlinear dynamics of hexagonal boron nitride (h-BN) lattice is studied by means
of molecular dynamics simulations with the use of the Tersoff interatomic potentials. It is …

A nonlinear chain with sixth-order polynomial on-site potential is used to analyze the
evolution of the total-to-kinetic-energy ratio during development of modulational instability of …

Discrete breather (DB) or, synonymously, intrinsic localized mode (ILM) is a spatially
localized and time-periodic vibrational mode in a defect-free nonlinear lattice, eg, in a crystal …