Dynamics of Optical and Other Soliton Solutions in Fiber Bragg Gratings with Kerr Law and Stability Analysis

This study deals to investigate a diverse collection of optical solitons and others solutions to fiber Bragg gratings with dispersive reflectivity having Kerr law of nonlinear refractive index. Bragg gratings are no doubt a technological spectacle that sustained balance between dispersion and nonlinear effects that leads to a stable transmission of solitons across transnational distances. Two recently established norms extended sine-cosine/sinh-cosh and generalized exponential rational function method are capitalizing to formulate bright, dark, singular, combo, complex and exponential solutions. The stability analysis of the studied model is also examined by utilizing linear stability theory. By selecting suitable parametric values, the dynamics of the evaluated results are exemplified by sketching their 2D, 3D and contour profiles. The novelty of the gained outcomes is manifested by a detailed comparison with the results that already exist. The applied computational approaches are concise, outspoken and reliable which lessen the tedious computational work and give it a wide range of applicability.