Characteristics of New Stochastic Solitonic Solutions for the Chiral Type of Nonlinear Schrödinger Equation

The Wiener process was used to explore the (2 + 1)-dimensional chiral nonlinear Schrödinger equation (CNLSE). This model outlines energy characteristics of quantum physics’ fractional Hall effect edge states. sine-Gordon expansion technique (SGET) implemented extract stochastic solutions for CNLSE through multiplicative noise effects. method accurately described a variety solitary behaviors, including bright solitons, dark periodic envelopes, solitonic forms, and dissipative dissipative–soliton-like waves, showing how changed as values studied system’s physical parameters were changed. parameter shown affect damping, growth, conversion effects on (dark) envelope shock-forced oscillatory wave energy, amplitudes, frequencies. In addition, intensity resulted in enormous structures behaviors. proposed is applicable various equations applied sciences.