Abstract
The nonlinear Schrödinger equations (NLSEs) arise from a large variety of fields, such as quantum mechanics, optical fiber communication, plasma physics, superfluid and many others. In this article, we consider the stochastic unstable nonlinear Schrödinger equation (UNLSE) and higher order dispersive nonlinear Schrödinger equation (HODNLSE). Namely, we consider these equations by a multiplicative noise in Itô sense. We applied the efficient solver in order to get the vital solutions. The forms of presented solutions are rational; trigonometric; hyperbolic functions. Some of acquired stochastic solutions are new and practical. The presented solutions perform an important factor for understanding the qualitative interpretation in various physical environments, such as optical fibers, plasma fluids and new physics. With the help of Matlab software, some graphs were given to depict the behavior of the gained solutions.
•Nonlinear analysis approach is used to solve the physical models.•Applying the unified solver to the stochastic NLSE in the unstable and higher order dispersive environments.•Highly performance and efficient of the proposed solver.•Obtaining some new solutions for the presented models.•The results are important in fiber optics applications.