摘要： Optical solitons form the basic fabric in telecommunication industry. It represents a nonlinear pulse or wave packet and travels without changing its shape and velocity across intercontinental distances [1-25]. The unique property of optical solitons is that they interact like particles [6]. One of the models that stems from nonlinear Schrodinger’s equation and is commonly referred to as one of the forms of derivative nonlinear Schrodinger’s equation. It is the Chen-Lee-Liu (CLL) equation [1] and plays vital role in plasmas and optical fiber communications [3-4]. Recently, there has been a significant increase in interest with this model. The focus however is mainly on the analytical aspect and retrieval of soliton solutions to the model. One can find in [7-16] and the references therein where studies related to W-shaped optical solitons, combined optical solitary waves and conservation laws, chirped W-shaped optical solitons, chirped dark and gray solitons, Laplace-Adomian decomposition method, semi-inverse variational principle and Darboux transformation among others are discussed. However, with the increasing interests on efficient numerical techniques for solving nonlinear evolution equations, we consider an algorithm based on the Improved Adomian Decomposition Method (IADM) that was later investigated in [18-19, 2-23] to numerically treat the CLL equation. The recursive algorithm for the model will be determined coupled with error analyses for some special bright optical soliton solutions that are available in the literature.