Stability conditions for one-dimensional optical solitons in cubic-quintic-septimal media
Optics
2015-09-30 v1 Pattern Formation and Solitons
Abstract
Conditions for stable propagation of one-dimensional bright spatial solitons in media exhibiting optical nonlinearities up to the seventh-order are investigated. The results show well-defined stability regions even when all the nonlinear terms are focusing. Conditions for onset of the supercritical collapse of the optical beam are identified too. A variational approximation is used to predict dependence of the soliton propagation constant on the norm, and respective stability regions are identified using the Vakhitov-Kolokolov criterion. Analytical results obtained by means of the variational approximation are corroborated by numerical simulations of the cubic-quintic-septimal nonlinear Schroedinger equation.
Keywords
Cite
@article{arxiv.1508.06866,
title = {Stability conditions for one-dimensional optical solitons in cubic-quintic-septimal media},
author = {Albert S. Reyna and Boris A. Malomed and Cid B. de Araujo},
journal= {arXiv preprint arXiv:1508.06866},
year = {2015}
}
Comments
Physical Review A, in press