On the solitary wave configurations of nonlinear Schrödinger equation under the effect of Lévy noise

Abstract: This study aims to examine the effect of L\'evy noise on the solutions of the nonlinear Schr\"odinger equation. An improved diversity of stochastic solutions is instinctively located discretely on certain conditions by applying the generalized Kudryashov method. Moreover, the dynamical behaviors of these exact results of the nonlinear Schr\"odinger equation are interpreted in the context of the effect of L\'evy noise. Even mathematical evaluations have been conducted and presented.