OPTICAL SOLITONS OF THE GENERALIZED STOCHASTIC GERDJIKOV-IVANOV EQUATION IN THE PRESENCE OF MULTIPLICATIVE WHITE NOISE

The current study focuses on investigating the perturbed Gerdjikov-Ivanov equation, which includes the presence of multiplicative white noise in the Ito sense for the first time. In this study, we utilize two efficient methods for investigating the proposed model, aiming to generate bright, dark, and singular solitons. Also, the emergence and transformation of straddled solitons are available. Straddled solitons are characterized by their unique ability to convert into solitons. Moreover, we obtain Wieirstrass doubly periodic type solutions and exponential solutions. Two techniques are applied for this investigation: the enhanced Kudryashov method and the improved modified, extended tanh-function method. These techniques are utilized to address particular goals of the study, specifically those concerning solitons. These soliton solutions are used as valuable tools for investigating various phenomena in the presence of white noise. Our study addresses the impact of noise on various wave phenomena, particularly focusing on soliton solutions. Our results reveal that white noise primarily affects the phase component of solitons recovered from the governing model. Our paper presents, for the first time, the optical soliton solutions derived from the perturbed Gerdjikov-Ivanov equation under the influence of multiplicative white noise. Our study's novelty lies in applying this effect to a previously unexplored model equation and the unveiling of optical soliton solutions within this new framework. These results represent a significant advancement in understanding wave phenomena in nonlinear optical systems.