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.

Journal/Review: PHYSICAL REVIEW A

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
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2022-01-23
References taken from IsiWeb of Knowledge: (subscribers only)
Connecting to view paper tab on IsiWeb: Click here
Connecting to view citations from IsiWeb: Click here

gdpr-image
This site uses cookies. If you decide to continue browsing we consider that you accept their use. For more information about cookies and how to delete them please read our Info Policy on cookies use.
Read more