Super-exponential decay of Diffraction Managed Solitons

Details Super-exponential decay of Diffraction Managed Solitons Super-exponential decay of Diffraction Managed Solitons

2008-04-23

arxiv.org/abs/0804.3783v1

Physics

Mathematical Physics

29 pages, 1 figure

Scientific paper

This is the second part of a series of papers where we develop rigorous decay estimates for breather solutions of an averaged version of the non-linear Schr\"odinger equation. In this part we study the diffraction managed discrete non-linear Schr\"odinger equation, an equation which describes coupled waveguide arrays with periodic diffraction management geometries. We show that, for vanishing average diffraction, all solutions of the non-linear and non-local diffraction management equation decay super-exponentially. As a byproduct of our method, we also have a simple proof of existence of diffraction managed solitons in the case of vanishing average diffraction.

Affiliated with

Also associated with

No associations

Rating

Super-exponential decay of Diffraction Managed Solitons 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 Super-exponential decay of Diffraction Managed Solitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Super-exponential decay of Diffraction Managed Solitons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-105415