Stochastic-fractional nonlinearity in optical fibers and plasma: insights from the conformable Chen-Lee-Liu equation

Abstract In this paper, the stochastic-fractional Chen-Lee-Liu equation is analyzed with respect to optical fibres using conformable derivatives. An extensive bifurcation analysis is carried out to understand the many states and transitions of the system. The sensitivity analysis question examines the effect of changes in other parameters on the behaviour of the system itself. The paper presents a novel solution to the complex stochastic-fractional Chen-Lee-Liu equation by applying the improved modified Sardar sub-equation method. The results show that both the modelling and analysis of optical fibre systems affected by stochastic-fractional dynamics made significant progress. Applications of the system are explored in the fields of optical communication and signal processing. Furthermore, the paper includes detailed two-dimensional (2D) and three-dimensional (3D) graphs to illustrate the results visually and authenticate the theoretical results.