Publication Date
2008
Journal or Book Title
PHYSICAL REVIEW A
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.
Pages
-
Volume
78
Issue
2
Recommended Citation
Beheshti, S; Law, KJH; Kevrekidis, PG; and Porter, MA, "Averaging of nonlinearity management with dissipation" (2008). PHYSICAL REVIEW A. 79.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/79
Comments
This is the prepublished version harvested from ArXiv. The published version is located at http://pra.aps.org/abstract/PRA/v78/i2/e025805