Modulational stability and gap solitons of gapless systems: Continuous versus discrete limits
Name
Conforti-2012-Modulational stability and gap solitons of gapless systems.pdf
Size
1.79 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Conforti, Matteo
De Angelis, Costantino
Akylas, Triantaphyllos R.
Aceves, Alejandro B.
Date Issued
June 2012
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.85.063836
