Highly Dispersive Optical Solitons in Birefringent Fibers with Polynomial Law of Nonlinear Refractive Index by Laplace–Adomian Decomposition

This paper is a numerical simulation of highly dispersive optical solitons in birefringent fibers with polynomial nonlinear form, which achieved for the first time. The algorithmic approach applied usage Laplace–Adomian decomposition scheme. Dark and bright soliton simulations are presented. error measure has very low count, thus, almost an exact replica such that analytically arise from governing system. suggested iterative scheme finds solution without any discretization, linearization, or restrictive assumptions.