Application of He's Exp-function Method to the Stochastic mKdV Equation

摘要

With the help of Hermit transformation, it is firstly that the exp-function method is applied to solve nonlinear stochastic partial differential equations, and some new exact solutions of the stochastic mKdV equation in the white noise environment are obtained. It is shown that the exp-function method provides a straightforward and important mathematical tool for nonlinear stochastic partial differential equations in mathematical physics.