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Modulational stability and gap solitons of gapless systems: Continuous versus discrete limits

Author(s)
Conforti, Matteo; De Angelis, Costantino; Akylas, Triantaphyllos R.; Aceves, Alejandro B.
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Abstract
We consider a model consisting of two subsystems with crossing linear dispersion curves that describes, for example, light propagation in binary waveguide arrays. This model admits bright-dark gap solitons in both the discrete and the continuous (long-wavelength) limits, in spite of the absence of a gap in the linear (i.e., plane-wave) spectrum. We find that these solitons are always modulationally unstable in the continuous limit, whereas they can be stable in the discrete system if the amplitude of the background component exceeds a certain threshold.
Date issued
2012-06
URI
http://hdl.handle.net/1721.1/72160
Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Journal
Physical Review A
Publisher
American Physical Society
Citation
Conforti, Matteo et al. “Modulational Stability and Gap Solitons of Gapless Systems: Continuous Versus Discrete Limits.” Physical Review A 85.6 (2012). ©2012 American Physical Society
Version: Final published version
ISSN
1050-2947
1094-1622

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