Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices
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.
Cite
@article{arxiv.1405.5082,
title = {Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices},
author = {Goran Gligorić and Aleksandra Maluckov and Ljupčo Hadžievski and Boris A. Malomed},
journal= {arXiv preprint arXiv:1405.5082},
year = {2015}
}
Comments
Chaos, in press