The Φ⁶-model Expansion Approach for Solving the (2+1)-dimensional Nlse With Kerr Law Nonlinearity and Std With Multiplicative White Noise in Birefringent Fibers

In the Itô sense, the (2+1)-dimensional NLSE with Kerr law nonlinearity and STD in birefringent fibers with multiplicative white noise is the subject of the current investigation. To do this, the Φ⁶- model expansion approach is implemented. Jacobi-elliptic solutions, dark solitons, bright solitons, singular solitons, and periodic solutions are all provided by this study's analysis. These findings contribute to the advancement of fiber laser technology: It contributes to the development of more efficient and stable fiber laser systems used in material processing, medical treatments, and telecommunications. Representations of the Jacoi-elliptic solution, bright and dark solitons are available in 2D and 3D.