Characteristics of new stochastic solutions to the (2+1)-dimensional nonlinear Schrödinger model via Wiener process

Abstract

We utilize the unified approach and He’s semi-inverse method to derive novel stochastic optical solutions for the (2 + 1)-dimensional nonlinear Schrödinger equation (2D-NLSE) in the context of Itôcalculus. The solutions obtained encompass distinct structures such as super solitons and collapsing dissipative waves. These solutions hold significant potential for elucidating physical phenomena across various domains, including stochastic plasma media, ocean waves, and optical fiber. We investigate the dependence of the 2D-NLSE wave solutions on the physical model parameters, namely the group velocity dispersion, nonlinearity and linear coefficients. These parameters play a crucial role in regulating the amplitude and phase of optical communication waves during propagation. Graphical representations of selected solutions are provided to visually demonstrate their dynamic characteristics. The presented solutions expand the possibilities for optical manipulation and offer prospects for addressing practical challenges.