Highly dispersive solitons in polarization-preserving fibers by Adomian decomposition method

Abstract

This paper numerically studies the existence and characteristics of highly dispersive bright optical solitons in polarization-preserving fibers. The numerical strategy adopted here is the Adomian decomposition method (ADM). The governing model is without self-phase modulation as its influence is negligible. We consider the impacts of group velocity dispersion, third-order dispersions, spatiotemporal dispersion, and nonlinear dispersions on the evolution of bright soliton. We have numerically obtained the bright soliton, which is formed as a result of robust balance among linear and nonlinear temporal as well as spatiotemporal dispersions. To check the accuracy of our numerical results we compare them with the analytical solution. The absolute error is very small and negligible even at large values of propagation time.