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 is achieved for the first time. The algorithmic approach is applied with the usage of the Laplace-Adomian decomposition scheme. Dark and bright soliton simulations are presented. The error measure has a very low count, and thus, the simulations are almost an exact replica of such solitons that analytically arise from the governing system. The suggested iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions.

Automated summary

This paper presents a numerical simulation of highly dispersive optical solitons in birefringent fibers with polynomial nonlinear form for the first time. The Laplace-Adomian decomposition scheme is used for the algorithmic approach. Dark and bright soliton simulations are shown with very low error measure, making them almost exact replicas of the analytically derived solitons from the governing system. The suggested iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions.