Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2008-05-17
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
10.1103/PhysRevA.78.033802
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 vortex necklaces exist and may possess regions of stable propagation through a photorefractive crystal. Most of the configurations disappear in bifurcations close to the upper edge of the first band. Solutions associated with such bifurcations are also numerically examined, and it is found that they are often asymmetric and more exotic. The dynamics of the relevant unstable structures are also examined through direct numerical simulations revealing either breathing oscillations or, in some cases, destruction of the original waveform.
Kevrekidis Panagiotis G.
Law Kody J. H.
Susanto Hadi
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