Dynamical structure and variety of new fiber optical solitons of the stochastic Ginzburg–Landau dynamical model

This article deals with the exact results of the stochastic real-valued Ginzburg–Landau (SGL) equation, along with the features of multiplicative noise (M-noise) that are useful in the area of signal processing and in other physical systems. Also, for the modeling of real-world systems accurately, understanding the noise is very crucial. Some other applications of the proposed equation are found in multiple disciplines of physics, mathematics, and chemistry. The four efficient techniques such as the method of Kudryashov (KM), the generalized projective Ricatti equations (GPRM), \(\exp (-\Phi (a))\)-expansion, and \(\frac{G'}{G^2}\)-expansion technique are implemented to obtain a new rational soliton, singular combo soliton, dark and periodic soliton solutions. The prime objective of such techniques is their applicability in elucidating similar kinds of prototypes. The current study reveals that the solutions collected are useful to improve some more results that were obtained previously, and also provide insights about its extension. The new results fetched would be valuable in large to describe certain attractive physical phenomena to scientists. Moreover, a few obtained stochastic solutions are presented in this paper with 3D features. These plots are displayed to express the significance of M-noise on the constructed solutions of the proposed SGL model.