Dynamical stabilization of solitons in cubic-quintic nonlinear Schr\"odinger model
Other Condensed Matter
2015-06-25 v1 Pattern Formation and Solitons
Abstract
We consider the existence of a dynamically stable soliton in the one-dimensional cubic-quintic nonlinear Schr\"odinger model with strong cubic nonlinearity management for periodic and random modulations. We show that the predictions of the averaged cubic-quintic NLS equation and modified variational approach for the arrest of collapse coincide. The analytical results are confirmed by numerical simulations of one-dimensional cubic-quintic NLS equation with rapidly and strongly varying cubic nonlinearity coefficient.
Keywords
Cite
@article{arxiv.cond-mat/0507042,
title = {Dynamical stabilization of solitons in cubic-quintic nonlinear Schr\"odinger model},
author = {Fatkhulla Kh. Abdullaev and Josselin Garnier},
journal= {arXiv preprint arXiv:cond-mat/0507042},
year = {2015}
}
Comments
4 pages, 4 figures