Wick-type stochastic multi-soliton and soliton molecule solutions in the framework of nonlinear Schrödinger equation

Abstract

The wick-type stochastic nonlinear Schrödinger equation driven from the Brownian motion is considered. Multi-soliton and soliton molecule solutions influenced by Brownian motion function are constructed by using the Hirota method combined with the Hermite transformation. Based on stochastic solutions, the dynamical evolution of solitons produce random wave packets. These results will offer important help for the application of the stochastic physical model in the white noise environment.