Stochastic optical solitons with multiplicative white noise via Ito calculus

Purpose: This study has been carried out to examine the stochastic optical soliton solutions of the nonlinear Schrodinger's equation (NLSE) with Kerr law nonlinearity by multiplicative noise in Ito sense and the behavioral changes on soliton dynamics.Methodology: In order to see the noise effect better, bright and dark soliton shapes belonging to the NLSE have been obtained using the subversion of the new extended auxiliary equation method (SAEM246) and verified with the computer algorithm that developed for this study.Findings: For the NLSE, the distortion of the soliton solutions obtained by the SAEM246 method under different noise effects is clearly shown and simulated.Originality: This method has never been applied before to a NLSE containing a stochastic function to analyze the noise effect. The novelty of the problem and applied method has resulted in many new and original soliton solutions and their behaviors under the noise effects.