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Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear
Goran Gligorić1, Aleksandra Maluckov1, Ljupčo Hadžievski1
1P* group, Vinča Institute of Nuclear Sciences, University of Belgrade, P.O.B. 522, 11001 Belgrade, Serbia.
Researchers created stable localized modes within mini-gaps of 2D nonlinear lattices by modulating intersite coupling. These modes, including solitons and breathers, offer new possibilities for controlling wave propagation in engineered materials.
Area of Science:
- Nonlinear physics
- Condensed matter physics
- Wave phenomena
Background:
- Periodic modulation of intersite coupling in 2D nonlinear lattices creates mini-gaps in the eigenvalue spectrum.
- These mini-gaps offer potential for creating localized modes.
Purpose of the Study:
- To investigate the formation of stable localized modes within the newly formed mini-gaps.
- To explore the characteristics of discrete solitons and breathers in a 2D superlattice.
Main Methods:
- Numerical analysis was employed to study the behavior of localized modes.
- The study focused on superlattices with spatially periodic modulation of intersite coupling in both directions.
Main Results:
- Stable single-peak and composite two- and four-peak discrete solitons and breathers were identified within the mini-gaps.
- Specific parameter regimes were found to support the stability of these localized modes.
- Unstable stationary states, such as two-soliton complexes, can transition into robust localized breathers.
Conclusions:
- Stable localized modes, including solitons and breathers, can be engineered in 2D nonlinear lattices with modulated intersite coupling.
- The findings demonstrate the potential for controlling wave localization and propagation in such engineered systems.
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