Effect of noise on wave solitons for (3+1)-dimensional nonlinear Schrödinger equation in optical fiber

We investigated the wave solitons for stochastic (3+1)-dimensional nonlinear Schrödinger equation with multiplicative white noise in the Itô sense which can be used to identify various nonlinear phenomena and mechanisms in the fields of optical fibers, physics, electric communication, engineering sciences and many others. The modified extended direct algebraic method is used to conduct the study. Many wave solutions are achieved like bright solitons, dark solitons, singular solitons, periodic wave solutions and singular periodic wave solutions. The impact of the noise is illustrated graphically using examples of some of the retrieved solutions with various noise strengths.