Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices
Апстракт
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.
Извор:
Chaos, 2014, 24, 2Финансирање / пројекти:
- Фотоника микро и нано структурних материјала (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
DOI: 10.1063/1.4881678
ISSN: 1054-1500; 1089-7682
PubMed: 24985438
WoS: 000338668900026
Scopus: 2-s2.0-85067712657
Институција/група
VinčaTY - JOUR AU - Gligorić, Goran AU - Maluckov, Aleksandra AU - Hadžievski, Ljupčo AU - Malomed, Boris A. PY - 2014 UR - https://vinar.vin.bg.ac.rs/handle/123456789/6065 AB - 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. T2 - Chaos T1 - Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices VL - 24 IS - 2 DO - 10.1063/1.4881678 ER -
@article{ author = "Gligorić, Goran and Maluckov, Aleksandra and Hadžievski, Ljupčo and Malomed, Boris A.", year = "2014", 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.", journal = "Chaos", title = "Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices", volume = "24", number = "2", doi = "10.1063/1.4881678" }
Gligorić, G., Maluckov, A., Hadžievski, L.,& Malomed, B. A.. (2014). Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices. in Chaos, 24(2). https://doi.org/10.1063/1.4881678
Gligorić G, Maluckov A, Hadžievski L, Malomed BA. Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices. in Chaos. 2014;24(2). doi:10.1063/1.4881678 .
Gligorić, Goran, Maluckov, Aleksandra, Hadžievski, Ljupčo, Malomed, Boris A., "Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices" in Chaos, 24, no. 2 (2014), https://doi.org/10.1063/1.4881678 . .