Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …

In the present work, we attempt a brief summary of various areas where non-linear waves
have been emerging in the phenomenology of lattice dynamical systems. These areas …

In this work, we revisit the question of stability of multibreather configurations, ie discrete
breathers with multiple excited sites at the anti-continuum limit of uncoupled oscillators. We …

We show that double-charge discrete optical vortices may be completely stable in
hexagonal photonic lattices where single-charge vortices always exhibit dynamical …

We consider a prototypical dynamical lattice model, namely, the discrete nonlinear
Schrödinger equation on nonsquare lattice geometries. We present a systematic …

It is well known that one-dimensional Klein–Gordon lattices with nearest-neighbor
interactions can support multibreathers with phase differences between the successive …

We study the existence and stability of multisite discrete breathers in two prototypical non-
square Klein–Gordon lattices, namely a honeycomb and a hexagonal one. In the …

The propagation of nonlinear dust-lattice waves in a two-dimensional hexagonal crystal is
investigated. Transverse off-plane dust grain oscillatory motion is considered in the form of a …

Quantum breathers in one-dimensional ferromagnetic chains with on-site easy axis
anisotropy are investigated analytically. Based on the Hartree approximation, we can work …

The occurrence of single-site or multisite localized vibrational modes, also called discrete
breathers, in two-dimensional hexagonal dusty plasma lattices is investigated. The system is …