Optical solitons in fiber Bragg gratings having Kerr law of refractive index with extended Kudryashov's method and new extended auxiliary equation approach

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.