Variable separation solutions of the Wick-type stochastic Broer–Kaup system

Abstract

With the help of Hermite transformation, we obtain variable separation solutions of the Wick-type stochastic Broer–Kaup system in the white noise environment. These variable separation solutions are more general than travelling solutions reported in the literature. To illustrate the novelty of variable separation solutions, we present some localized structures with chaotic behaviors.