Abstract
The current paper studies optical solitons with the nonlinear stochastic Biswas–Arshed equation for the first time. Dark, bright, and singular solitons are presented via three integration technologies.
•The current paper handles optical solitons stochastic nonlinear Biswas–Arshed equation forced by multiplicative noise in the Itô sense for first time.•Two integration technologies, namely, the unified Riccati equation method and the extended auxiliary equation method are utilized.•These lead to the emergence of bright, dark, and singular optical solitons whose existence criteria are also presented.