Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic-Quartic Dispersive Reflectivity by Lie Symmetry

The current paper recovers cubic-quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, it is followed through with improved Kudryashov and generalized Arnous schemes. The parameter constraints are also identified for the existence of such solitons. Numerical surface plots support the adopted applied analysis.

Automated summary

This paper investigates the recovery of cubic-quartic optical solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index structures. Lie symmetry analysis, improved Kudryashov scheme, and generalized Arnous scheme were used. The parameter constraints for the existence of such solitons were identified. Numerical surface plots support the applied analysis.