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Solitons in triangular and honeycomb dynamical lattices with the cubic nonlinearity
Stability in two-dimensional discrete nonlinear schrodinger equation lattice discrete soliton
2014/12/29
We study the existence and stability of localized states in the discrete nonlinear Schrödinger equation on two-dimensional nonsquare lattices. The model includes both the nearest-neighbor and lon...
Solitons and vortices in honeycomb defocusing photonic lattices
Gap soliton two-dimensional photoinduced photonic crystal lattice theory cellular defocusing photorefractive crystal
2014/12/25
Solitons and necklaces in the first band gap of a two-dimensional optically induced honeycomb defocusing photonic lattice are theoretically considered. It is shown that dipoles, soliton necklaces, and...
Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
Dynamic lattice model lattice geometries nonlinear schrodinger equation
2014/12/25
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 th...
Existence and stability of multisite breathers in honeycomb and hexagonal lattices
Discrete respirator non-square klein Gordon coupling two vortex breath whirlpool hexagonal lattice
2014/12/24
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 honeycomb case we consider six...