By using the Hermite transformation Painleve′ and analysis in Kondratiev distribution space (S-1), a Backlund transformation of Wicktype stochastic generalized Kdv equation was derived, and the wicktype stochastic generalized Kdv equation was converted to a kdv equation of generalized coefficient. Then the exact solutions of KdvMKdv equation of generalized coefficient were given. Finally the exact solutions of stochastic generalized KdV equations were given on different white noise functional conditions of the coefficient through Hermite inverse transformation.
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那顺布和. Wick类型的随机广义Kdv方程的精确解[J].动力学与控制学报,2010,8(2):119~122; Nashun Buhe. Exact solutions for wicktype stochastic generalized Kdv equation[J]. Journal of Dynamics and Control,2010,8(2):119-122.