Simulation and refraction event of complex hyperbolic type solitary wave in plasma and optical fiber for the perturbed Chen-Lee-Liu equation

In this article, Modified $$1/G^{\prime}$$ -expansion and Kudryashov methods are applied to generate traveling wave solutions of Perturbed Chen-Lee-Liu equation. The similar different aspects the produced by both analytical discussed. By giving special values constants in obtained methods, 2D, 3D contour graphics representing shape standing at any time presented. Additionally, advantages disadvantages two discussed Also, a solitary is parameters hyperbolic type complex solution. Simulations created for amplitute velocity propagation wave. these calculated breakage event physically. A computer package program used operations such as solving operations, drawing systems algebraic equations.