Averaging of Nonlinearity Management with Dissipation
Pattern Formation and Solitons
2009-11-13 v1 Adaptation and Self-Organizing Systems
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 Schroedinger model in the presence of a periodic nonlinearity and a periodically-varying dissipation coefficient. The incorporation of dissipation 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.
Keywords
Cite
@article{arxiv.0803.3022,
title = {Averaging of Nonlinearity Management with Dissipation},
author = {S. Beheshti and K. J. H. Law and P. G. Kevrekidis and Mason A. Porter},
journal= {arXiv preprint arXiv:0803.3022},
year = {2009}
}