Scientific Results

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

Year: 2012

Authors: Conforti M., De Angelis C., Akylas T. R., Aceves A. B.

Autors Affiliation: CNISM, Dipartimento di Ingegneria dell’Informazione, Universita\’ degli Studi di Brescia, Brescia 25123, Italy; Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA; Department of Mathematics, Southern Methodist University, Dallas, Texas 75275, USA

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.


Volume: 85 (6)      Pages from: 063836  to: 063836

More Information: Work was done in part under the UniBSMIT-MechE faculty exchange program co-sponsored by the CARIPLO Foundation, Italy, under Grant No. 2008-2290. C.D.A. and M.C. acknowledge financial support from the CARIPLO Foundation under Grant No. 2010-0595 and from the U.S. Army under Grant No. W911NF-11-1-0285. A.A. would like to thank the University of Brescia collaborators for their hospitality during his recent visit. A.A. acknowledges support from the U.S. National Science Foundation under Grant No. ECCS-1128593.
DOI: 10.1103/PhysRevA.85.063836

Citations: 7
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