Abstract

A Wick-type stochastic Korteweg–de Vries equation is researched. We establish a relationship between the Korteweg–de Vries equation and the elliptic equation. With the help of Hermit transformation and the elliptic equation mapping method, we obtain a series of exact Jacobi elliptic function solutions to the stochastic Korteweg–de Vries equation in the white noise environment.

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