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

The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

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 study discrete vortices in the two-dimensional nonlinear Schrödinger lattice with small
coupling between lattice nodes. The discrete vortices in the anti-continuum limit of zero …

We study the formation of vortices in a Bose-Einstein condensate (BEC) that has been
prepared by allowing isolated and independent condensed fragments to merge together …

We report on the experimental observation of stable double-charge discrete vortex solitons
generated in hexagonal photonic lattices created optically in self-focusing nonlinear media …

In this paper, a theorem, which determines the linear stability of multibreathers excited over
adjacent coupled oscillators in Klein–Gordon chains, is proven. Specifically, it is shown that …

We study the existence and stability of multibreathers in Klein–Gordon chains with
interactions that are not restricted to nearest neighbors. We provide a general framework …

We investigate the existence and stability of gap vortices and multipole gap solitons in a
kagome lattice with a defocusing nonlinearity both in a discrete case and in a continuum one …