Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices
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-pe...
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Veröffentlicht in: | Chaos (Woodbury, N.Y.) N.Y.), 2014-06, Vol.24 (2), p.023124-023124 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | 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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ISSN: | 1054-1500 1089-7682 |
DOI: | 10.1063/1.4881678 |