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
Recommended Citation
Nath, Debraj; Roy, Barnana; and Roychoudhury, Rajkumar, "Periodic waves and their stability in competing cubic-quintic nonlinearity" (2017). Journal Articles. 2521.
https://digitalcommons.isical.ac.in/journal-articles/2521