Abstract
•Bragg gratings with Kerr law nonlinearity is studied.•Two strategic integration architectures are implemented.•Bright, dark and singular soliton solutions are recovered.•The existence criteria for such solitons are enumerated.
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 technological 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 presented.