The unstable nonlinear Schrödinger equation (UNLSE) characterises the time evolution of
disturbances through unstable or marginally stable media. We study the stochastic UNLSE …

The nonlinear Schrödinger equations (NLSEs) arise from a large variety of fields, such as
quantum mechanics, optical fiber communication, plasma physics, superfluid and many …

The stochastic nonlinear Schrödinger model (SNLSM) in (1+ 1)-dimension with random
potential is examined in this paper. The analysis of the evolution of nonlinear dispersive …

In this article, we applied the unified solver method to extract stochastic solutions of a new
stochastic extension of nonlinear Schrödinger equation. This solver gives the closed formula …

We investigate the stochastic unstable nonlinear Schrödinger equation through bi-random
sources. Specifically, we solve this equation via Itô sense, with the parameter following …

We introduce a new stochastic robust solver to solve several classes of nonlinear stochastic
partial differential equations (NSPDEs). This solver presents the closed formula for the …

The stochastic generalized nonlinear Schrödinger equation (SGNLSE) of third order in the
Stratonovich sense is examined here. New elliptic, hyperbolic, trigonometric, and rational …

The exact solutions of the nonlinear Schrödinger equation (NLSE) predict consistent novel
applicable existences such as solitonic localized structures, rouge forms, and shocks that …

The nonlinearly stochastic Schrödinger equation (NLSSE) predicts the nonlinear process
that produces the waves decay in many physics applications. The unified method has been …

Nonlinear Schrödinger equations (NLS) play an important role for the understanding of
many physical phenomena. For instance, NLS appears in wave propagation in nonlinear …