New complex wave structures to the complex Ginzburg-Landau model

Abstract

<abstract> Int his paper, we study and analysis the complex Ginzburg-Landau model or CGL model to obtain some new solitary wave structures through the modified $ (G'/G) $-expansion method. Those solutions can explain through hyperbolic, trigonometric, and rational functions. The graphical design makes the dynamics of the equations noticeable. Herein, we state that the examined method is important, powerful, and significant in performing numerous solitary wave structures of various nonlinear wave models following in physics and engineering as well. </abstract>