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. (c) 2006 Elsevier Ltd. All rights reserved.