Stability conditions for one-dimensional optical solitons in cubic-quintic-septimal media

Albert S. Reyna, Boris A. Malomed, Cid B. De Araújo

Research output: Contribution to journalArticlepeer-review


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 (VA) is used to predict dependence of the soliton's propagation constant on the norm, and the respective stability regions are identified using the Vakhitov-Kolokolov criterion. Analytical results obtained by means of the VA are corroborated by numerical simulations of the cubic-quintic-septimal nonlinear Schrödinger equation.

Original languageEnglish
Article number033810
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number3
StatePublished - 8 Sep 2015


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