Dynamics of M× 1-crowdion clusters (M= 1, 2 or 3) and vacancy clusters is analyzed in 2D
triangular lattice with Morse interactions. Topological defects are created in the lattice 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 analyze the existence and characteristics of discrete vortex quantum droplets with
intrinsic topological charges S of up to 5 in two-component Bose-Einstein condensates in a …

The combination of the two hot topics of spin-orbit coupling and honeycomb lattices leads to
the appearance of fascinating issues. In this paper, we investigate the existence and stability …

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 introduce discrete vortex solitons and vortex breathers in circular arrays of nonlinear
waveguides. The simplest vortex breather in a four-waveguide coupler is a nonlinear …

By means of a systematic numerical analysis, we demonstrate that hexagonal lattices of
parallel linearly coupled waveguides, with the intrinsic cubic self-focusing nonlinearity, give …

We analyze localization of light in honeycomb photonic lattices restricted in one dimension,
which can be regarded as an optical analog of graphene nanoribbons. We discuss the effect …

We explore the energy transfer dynamics in an array of two chains of identical rigid
interacting dipoles. Varying the distance b between the two chains of the array, a crossover …

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 …