Dispersive optical soliton solutions in birefringent fibers with stochastic Kaup-Newell equation having multiplicative white noise

In this article, we study for the first time the stochastic Kaup-Newell equation in birefringent fibers. Three integration algorithms are applied, namely, the unified Riccati equation expansion method, the addendum to Kudryashov's method, and the addendum to modified sub-ODE method. Many types of optical soliton solutions such as Jacobi-elliptic function solutions, Weierstrass elliptic function solutions, bright solitons, dark solitons, singular solitons, and periodic function solutions are obtained. Numerical schemes give a visual perspective to the solutions derived analytically.