Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2006-03-15
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 4 figures
Scientific paper
10.1103/PhysRevE.75.016607
Motivated by recent experimental and theoretical results on optical X-waves, we propose a new type of waveforms in 2D and 3D discrete media -- multi-legged extended nonlinear structures (ENS), built as arrays of lattice solitons (tiles or stones, in the 2D and 3D cases, respectively). First, we study the stability of the tiles and stones analytically, and then extend them numerically to complete ENS forms for both 2D and 3D lattices. The predicted patterns are relevant to a variety of physical settings, such as Bose-Einstein condensates in deep optical lattices, lattices built of microresonators, photorefractive crystals with optically induced lattices (in the 2D case) and others.
Frantzeskakis Dimitri J.
Gagnon Justin
Kevrekidis Panagiotis G.
Malomed Boris A.
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