The $$\Phi ^{6}$$-model expansion approach for solving the (2+1)-dimensional NLSE with Kerr law nonlinearity and STD with multiplicative white noise in birefringent fibers

Abstract

In the Itô sense, the (2+1)-dimensional NLSE with Kerr law nonlinearity and STD in birefringent …bers with multiplicative white noise is the subject of the current investigation. To do this, the 6 -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 …ndings contribute to the advancement of …ber laser technology: It contributes to the development of more e¢cient and stable …ber 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.