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

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