A modified Jacobi elliptic function expansion method and its application to Wick-type stochastic KdV equation

With the help of white noise functional approach and a modified Jacobi elliptic function expansion method, a Wick-type stochastic KdV equation is researched. We construct a group of more general formal solutions of Jacobi elliptic function for stochastic KdV equation. The solutions which are derived in the paper include many other formal solutions of Jacobi elliptic function besides the all solutions found by Wei et al. [Chaos, Solitons & Fractals 2005;26:551].