Optical solitons for the dispersive concatenation model with polarization mode dispersion in presence of multiplicative white noise

Abstract The current work focuses on the dispersive concatenation model, which is a framework used to describe the interaction of multiple dispersive effects. In this study, polarization mode dispersion is analyzed in the presence of multiplicative white noise, which affects both polarization components of the system. Using the $$F$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>F</mml:mi> </mml:math> -expansion method, a comprehensive analysis is carried out, revealing a broad spectrum of optical solitons, including various forms such as bright, dark, and singular solitons, as well as complexiton solutions. The investigation shows that despite the presence of white noise, its influence remains restricted primarily to the phase components of the two polarized modes, without significantly altering the amplitude or the fundamental nature of the solitons. This indicates that the soliton structures are robust against the noise, preserving their shape and energy profiles while experiencing phase shifts.