The new structures of stochastic solutions for the nonlinear Schrödinger’s equations

Abstract

The nonlinear Schrödinger’s equations (NLSEs) is a famous model used to investigate the propagation of optical solitons via nonlinear optical fibers. We applied the unified solver method in order to extract some new stochastic solutions for three types of NLSEs forced by multiplicative noise in Itô sense. The acquired solutions describe the propagation of solitons in nonlinear optical fibers. We exhibit the influence of presence of noise term on the solution for the NLSEs. The theoretical analysis and presented solutions illustrate that the proposed solver is powerful and efficient. Finally, the wave amplitudes may be controlled by the effects performance of physical parameters of the NLSEs in the presence of noise term in Itô sense. Finally, we present He’s frequency formulation.