Uniformly constructing a series of exact solutions for (2 + 1)-dimensional stochastic Broer–Kaup system

Wick-type (2 + 1)-dimensional stochastic Broer–Kaup system is researched. By means of Hermite transformation, the white noise theory and a new auxiliary equation, we uniformly construct a general formal solution for the Wick-type stochastic Broer–Kaup system. With the help of the mapping relation constructed between the general formal solution of the Wick-type stochastic Broer–Kaup system and the solutions of the auxiliary equation, various types of exact solutions of the Wick-type stochastic Broer–Kaup system are derived.