Extracting stochastic solutions for complex Ginzburg–Landau model with chromatic dispersion and Kerr law nonlinearity using improved modified extended tanh technique.

In this research article, the stochastic complex Ginzburg–Landau equation with Kerr law nonlinearity and chromatic dispersion is studied, which has been the focus of many studies and continues to be important in this field of study of nonlinear optics. The improved modified extended tanh technique is utilized in this work. This method depends on the extended Riccati equation. So, numerous stochastic exact solutions including singular solitons, dark solitons, bright solitons, exponential solutions and singular periodic solutions are offered by this method. This technique presents a realistic and successful strategy for deriving exact solutions to various nonlinear partial differential equations. Graphical representations of some of the extracted solutions using different noise intensities are shown to demonstrate the influence of the noise. The optical solitons produced in respect to this form have never been explored by the proposed technique before, and the results have never been published. [ABSTRACT FROM AUTHOR]