Averaging of nonlinearity management with dissipation
Abstract
Motivated by recent experiments in optics and atomic physics, we derive an averaged nonlinear partial differential equation describing the dynamics of the complex field in a nonlinear Schrödinger model in the presence of a periodic nonlinearity and a periodically varying dissipation coefficient. The incorporation of dissipation in our model is motivated by experimental considerations. We test the numerical behavior of the derived averaged equation by comparing it to the original nonautonomous model in a prototypical case scenario and observe good agreement between the two.
- Publication:
-
Physical Review A
- Pub Date:
- August 2008
- DOI:
- 10.1103/PhysRevA.78.025805
- arXiv:
- arXiv:0803.3022
- Bibcode:
- 2008PhRvA..78b5805B
- Keywords:
-
- 42.65.Tg;
- 05.45.Yv;
- 02.30.Jr;
- 03.75.Lm;
- Optical solitons;
- nonlinear guided waves;
- Solitons;
- Partial differential equations;
- Tunneling Josephson effect Bose-Einstein condensates in periodic potentials solitons vortices and topological excitations;
- Nonlinear Sciences - Pattern Formation and Solitons;
- Nonlinear Sciences - Adaptation and Self-Organizing Systems
- E-Print:
- doi:10.1103/PhysRevA.78.025805