Bright and dark Thirring optical solitons with improved adomian decomposition method

In this paper we present the results of numerical analysis of optical solitons in Birefringent Fibers with Kerr law nonlinearity for the special cases Thirring'solitons. We studied these cases as an application for the non-linear Schrodinger equation. Then we have provided a numerical study of the effect of changing the constants on the amplitude of the solitons in the form of the bright soliton and dark solitons. (C) 2016 Elsevier GmbH. All rights reserved.