Optical solitons for the complex Ginzburg-Landau equation with Kerr law and non-Kerr law nonlinearity

This article considers the complex Ginzburg-Landau equation which arises in many fields of science and engineering, specifically in nonlinear fiber optics. Three different forms of nonlinearity, namely, the Kerr law, quadratic-cubic law and parabolic law are discussed for the proposed model. The governing equation is explored using the generalized projective Riccati equations technique. A variety of soliton solutions are extracted that describe the dynamic structure of the model. The results are illustrated graphically using 3D graphs and 2D contour plots that assist in examining the solitonic behavior of the solutions for suitable choices of arbitrary parameters.