Title

Periodic waves and their stability in competing cubic-quintic nonlinearity

Article Type

Research Article

Publication Title

Optics Communications

Abstract

Exact expressions are obtained for stationary periodic waves in cubic-quintic nonlinear media with opposite signs of nonlinearity. It is shown that defocussing/focussing quintic nonlinearity can lead to stabilization of snoidal/(cnoidal and dnoidal) periodic waves depending on whether the Kerr medium is focusing/defocusing. Direct numerical simulations confirm results of the linear stability analysis. Different stable patterns e.g. bright solitons and kinks are also obtained under certain conditions.

First Page

224

Last Page

231

DOI

10.1016/j.optcom.2017.02.060

Publication Date

6-15-2017

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