Abstract
In this study, we dealt with the Chen-Lee-Liu equation. This equation models the propagation of soliton flow through optical fibers and other wave-guide mediums. Using the association between Lie point symmetries and local conserved vectors, we extracted some different types of optical soliton solutions of this equation. In addition, we construct the new conservation laws employing the Lie point symmetries of the equation by the approach of Kara and Mahomed.