Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices

Details Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices

2010-11-20

arxiv.org/abs/1011.4612v1

Nonlinear Sciences

Pattern Formation and Solitons

6 pages, 3 figures

Scientific paper

We introduce a system of two linearly coupled discrete nonlinear Schr\"{o}dinger equations (DNLSEs), with the coupling constant subject to a rapid temporal modulation. The model can be realized in bimodal Bose-Einstein condensates (BEC). Using an averaging procedure based on the multiscale method, we derive a system of averaged (autonomous) equations, which take the form of coupled DNLSEs with additional nonlinear coupling terms of the four-wave-mixing type. We identify stability regions for fundamental onsite discrete symmetric solitons (single-site modes with equal norms in both components), as well as for two-site in-phase and twisted modes, the in-phase ones being completely unstable. The symmetry-breaking bifurcation, which destabilizes the fundamental symmetric solitons and gives rise to their asymmetric counterparts, is investigated too. It is demonstrated that the averaged equations provide a good approximation in all the cases. In particular, the symmetry-breaking bifurcation, which is of the pitchfork type in the framework of the averaged equations, corresponds to a Hopf bifurcation in terms of the original system.

Affiliated with

Also associated with

No associations

Rating

Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-221001