High-stochastic solitons for the eighth-order NLSE through Itô calculus and STD with higher polynomial nonlinearity and multiplicative white noise

This research is the first to deal with high stochastic solitons of the eighth-order NLSE that have higher polynomial nonlinearity and use Itô multiplicative white noise. We use each of an extended simplest approach, the addendum Kudryashov’s technique to achieve this. The examination of this study provides bright, singular, bright-singular and combined bright-dark solitons. These findings contribute to the advancement of our understanding of high stochastic solitons and their dynamics, which is crucial for real-world applications, particularly in optical communication systems. By comprehending the effects of stochasticity on dispersive solitons, we can enhance the design and performance of optical networks, leading to more efficient and reliable communication over long distances. Representations of the bright and combined bright-dark solutions are available in 2D and 3D. The system being studied is new and special, as are the effects that are discussed in the paper.