Investigation of soliton solutions to the (2 + 1)-dimensional stochastic chiral nonlinear Schrödinger equation with bifurcation, sensitivity and chaotic analysis.

The stochastic chiral nonlinear Schrödinger equation has real life applications in developing advanced optical communication systems, involving description of wave propagation in noisy, chiral fiber networks. In the present study, the [Formula: see text]-dimensional stochastic chiral nonlinear Schrödinger equation is investigated using two different formats of the generalized Kudryashov method. A variety of soliton solutions, such as kink, anti-kink, periodic, M-shaped, W-shaped, and V-shaped patterns, are derived, showing the graphical behavior of the system. Achieved solutions are verified with the use of Mathematica software. For further investigation to these solutions, 2D, 3D, and contour graphs are shown to graphically represent the corresponding solutions. Moreover, Bifurcation analysis is performed to investigate the qualitative changes in the dynamics of the system. Chaotic behaviour and sensitivity analysis are also investigated, highlighting the stochastic system's complexity. Additional determination of chaotic paths is carried out by 2D and 3D graphs and time series analysis. The findings provide valuable theoretical insights into chiral nonlinear systems under unexpected causes and provide useful analytical methods and visual models for future studies in nonlinear wave propagation, optical physics, and complex dynamical systems.