CHINESE JOURNAL OF PHYSICS, cilt.66, ss.187-205, 2020 (SCI-Expanded)
This paper reveals optical solitons and other solutions to fiber Bragg gratings with dispersive reflectivity having Kerr law of nonlinear refractive index. Bragg gratings are indeed a techno-logical marvel that supplements chromatic dispersion when its count runs low. The extended Kudryashov's method and new extended auxiliary equation method have been implemented. Chirped and chirp-free bright, dark and singular solitons, with dispersive reflectivity, are pre-sented.