Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
We consider a prototypical dynamical lattice model, namely, the discrete nonlinear Schrödinger equation on nonsquare lattice geometries. We present a systematic classification of the solutions that arise in principal six-lattice-site and three-lattice-site contours in the form of both discrete multipole solitons and discrete vortices. Additionally to identifying the possible states, …