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

Qing Liu

Chaos, Solitons & Fractals, 2008, vol. 36, issue 4, 1037-1043

Abstract: 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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:4:p:1037-1043

DOI: 10.1016/j.chaos.2006.08.002

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