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

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.

Physical Review A, in press

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Cited by in corpus (5)

• Singular solitons
• Solitons under spatially localized cubic-quintic-septimal nonlinearities
• Multifaceted dynamics and gap solitons in $\mathcal{P}\mathcal{T}$-symmetric periodic structures
• Novel solitary and periodic waves in quadratic-cubic non-centrosymmetric waveguides
• Nongauge bright soliton of the nonlinear Schrodinger (NLS) equation and a family of generalized NLS equations