Investigating the noise effect on the CGL model having parabolic law of nonlinearity

The stochastic complex Ginzburg-Landau model with parabolic law nonlinearity and chromatic dispersion is investigated in this research study. In many fields of science, including fluid dynamics and optical fibers, this model is utilized to represent the wave nature. In this study, the improved modified extended tanh approach is used. This method provides a wide variety of solutions, including dark, singular and bright solitons. Furthermore, exponential, singular periodic and Weierstrass elliptic solutions are provided. For a variety of nonlinear partial differential equations, this method offers a practical and effective method for determining exact solutions. The impact of the noise is illustrated graphically using examples of some of the retrieved solutions with various noise strengths.