In the present work we focus on the case of (few-site) configurations respecting the parity-
time (PT) symmetry, ie, with a spatially odd gain-loss profile. We examine the case of such …

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 …

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 …

We discuss the propagation and interaction of discrete quantum droplets in one-dimensional
binary Bose mixtures by variationally and numerically solving the underlying generalized …

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 …

We present a systematic study of the existence and stability of discrete breathers that are
spatially localized in the bulk of a one-dimensional chain of compressed elastic beads that …

Nonlinearity and discreteness are two pivotal factors for an emergence of discrete breather
excitations in various media. We argue that these requirements are met in the forced …

Discrete breathers (DBs), also called intrinsic localized modes (ILMs), are spatially localized,
large-amplitude vibrational modes in nonlinear lattices. Rod-like discrete breathers (DBs) …

The effect of discrete breathers (DBs) on macroscopic properties of the Fermi-Pasta-Ulam
chain with symmetric and asymmetric potentials is investigated. The total to kinetic energy …

We prove nonexistence of breathers (spatially localized and time-periodic oscillations) for a
class of Fermi–Pasta–Ulam lattices representing an uncompressed chain of beads …