Two-dimensional dissipative gap solitons

Details Two-dimensional dissipative gap solitons Two-dimensional dissipative gap solitons

2009-08-07

arxiv.org/abs/0908.0973v1

Nonlinear Sciences

Pattern Formation and Solitons

8 pages, 6 figures

Scientific paper

We introduce a model which integrates the complex Ginzburg-Landau (CGL) equation in two dimensions (2D) with the linear-cubic-quintic combination of loss and gain terms, self-defocusing nonlinearity, and a periodic potential. In this system, stable 2D \textit{dissipative gap solitons} (DGSs) are constructed, both fundamental and vortical ones. The soliton families belong to the first finite bandgap of the system's linear spectrum. The solutions are obtained in a numerical form and also by means of an analytical approximation, which combines the variational description of the shape of the fundamental and vortical solitons and the balance equation for their total power. The analytical results agree with numerical findings. The model may be implemented as a laser medium in a bulk self-defocusing optical waveguide equipped with a transverse 2D grating, the predicted DGSs representing spatial solitons in this setting.

Affiliated with

Also associated with

No associations

Rating

Two-dimensional dissipative gap 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 Two-dimensional dissipative gap solitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional dissipative gap solitons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-152813