Objective: The current work is about recovering solitons with generalized anti–cubic nonlinearity as well as multiplicative white noise by the usage of Itô Calculus for the first time. Methods: The Jacobi's elliptic function approach and the modified Kudryashov's algorithm are collectively implemented to acquire optical solitons that are exhibited after a thorough discussion on the intro to the model together with the prelims on mathematical analysis. Results: Dark, singular, bright–singular and bright solitons stem from the integration approaches. These solitons are extracted with the usage of the certain constraints. Conclusion: A governing model equation is newly structured in the current work. The phase component of the solitons is where the effect of white noise gets reflected. Later, this work would be extended to birefringent fibers as modeled by AC nonlinearity with the effect of white noise included. Further along, the results would be recovered for the model with DWDM topology.
- Itô Calculus
- White noise