The objective of this paper is to locate the embedded solitons with χ(2) and χ(3) nonlinear susceptibilities in presence of multiplicative noise. Itô Calculus was implemented to carry out the analysis of the corresponding stochastic differential equation. The unified Riccati equation expansion method and enhanced Kudryashov's approach yielded dark, bright and singular solitons. The derived soliton solutions show that the effect of white noise is present only in the phase component.
- Embedded solitons
- Nonlinear susceptibilities