%0 Journal Article
%T Stability conditions for one-dimensional optical solitons in cubic-quintic-septimal media
%A Albert S. Reyna
%A Boris A. Malomed
%A Cid B. de Araujo
%J Physics
%D 2015
%I arXiv
%R 10.1103/PhysRevA.92.033810
%X 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.
%U http://arxiv.org/abs/1508.06866v1