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arXiv · 1405.5082

Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices

Goran Gligorić·Aleksandra Maluckov·Ljupčo Hadžievski·Boris A. Malomed
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Abstract

Spatially periodic modulation of the intersite coupling in two-dimensional (2D) nonlinear lattices modifies the eigenvalue spectrum by opening mini-gaps in it. This work aims to build stable localized modes in the new bandgaps. Numerical analysis shows that single-peak and composite two- and four-peak discrete static solitons and breathers emerge as such modes in certain parameter areas inside the mini-gaps of the 2D superlattice induced by the periodic modulation of the intersite coupling along both directions.The single-peak solitons and four-peak discrete solitons are stable in a part of their existence domain, while unstable stationary states (in particular, two-soliton complexes) may readily transform into robust localized breathers.

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Goran Gligorić, Aleksandra Maluckov, Ljupčo Hadžievski, Boris A. Malomed. 2014-05-19. Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices. https://doi.org/10.1063/1.4881678

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